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Finding the Fourth Proportional to 57,193.17, 85,788.54 and 15,640.17

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Solution

The fourth proportional to 57,193.17, 85,788.54 and 15,640.17 is: 23,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193.17 : 85,788.54 = 15,640.17 : x
  2. Step 2: Convert to fraction form
    57,193.17/85,788.54 = 15,640.17/x
  3. Step 3: Cross multiply
    57,193.17x = 85,788.54 × 15,640.17
  4. Step 4: Simplify right side
    57,193.17x = 1,341,747,349.65
  5. Step 5: Solve for x
    x = 1,341,747,349.65/57,193.17
  6. Step 6: Final answer
    x = 23,459.92

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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.