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Finding the Fourth Proportional to 75,853.84, 113,743.31 and 23,250.64

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Solution

The fourth proportional to 75,853.84, 113,743.31 and 23,250.64 is: 34,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,853.84 : 113,743.31 = 23,250.64 : x
  2. Step 2: Convert to fraction form
    75,853.84/113,743.31 = 23,250.64/x
  3. Step 3: Cross multiply
    75,853.84x = 113,743.31 × 23,250.64
  4. Step 4: Simplify right side
    75,853.84x = 2,644,604,184.50
  5. Step 5: Solve for x
    x = 2,644,604,184.50/75,853.84
  6. Step 6: Final answer
    x = 34,864.48

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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.