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Finding the Fourth Proportional to 75,761,813.42, 113,644,837.47 and 24,643,832.44

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Solution

The fourth proportional to 75,761,813.42, 113,644,837.47 and 24,643,832.44 is: 36,966,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,761,813.42 : 113,644,837.47 = 24,643,832.44 : x
  2. Step 2: Convert to fraction form
    75,761,813.42/113,644,837.47 = 24,643,832.44/x
  3. Step 3: Cross multiply
    75,761,813.42x = 113,644,837.47 × 24,643,832.44
  4. Step 4: Simplify right side
    75,761,813.42x = 2,800,644,332,281,713.50
  5. Step 5: Solve for x
    x = 2,800,644,332,281,713.50/75,761,813.42
  6. Step 6: Final answer
    x = 36,966,437.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.