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Finding the Fourth Proportional to 75,901, 104,743.44 and 42,367

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Solution

The fourth proportional to 75,901, 104,743.44 and 42,367 is: 58,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,901 : 104,743.44 = 42,367 : x
  2. Step 2: Convert to fraction form
    75,901/104,743.44 = 42,367/x
  3. Step 3: Cross multiply
    75,901x = 104,743.44 × 42,367
  4. Step 4: Simplify right side
    75,901x = 4,437,665,322.48
  5. Step 5: Solve for x
    x = 4,437,665,322.48/75,901
  6. Step 6: Final answer
    x = 58,466.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.