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Finding the Fourth Proportional to 57,920.96, 86,891.36 and 24,641.30

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Solution

The fourth proportional to 57,920.96, 86,891.36 and 24,641.30 is: 36,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,920.96 : 86,891.36 = 24,641.30 : x
  2. Step 2: Convert to fraction form
    57,920.96/86,891.36 = 24,641.30/x
  3. Step 3: Cross multiply
    57,920.96x = 86,891.36 × 24,641.30
  4. Step 4: Simplify right side
    57,920.96x = 2,141,115,511.50
  5. Step 5: Solve for x
    x = 2,141,115,511.50/57,920.96
  6. Step 6: Final answer
    x = 36,966.16

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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.