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Finding the Fourth Proportional to 57,502.89, 86,254.32 and 15,949.89

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Solution

The fourth proportional to 57,502.89, 86,254.32 and 15,949.89 is: 23,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502.89 : 86,254.32 = 15,949.89 : x
  2. Step 2: Convert to fraction form
    57,502.89/86,254.32 = 15,949.89/x
  3. Step 3: Cross multiply
    57,502.89x = 86,254.32 × 15,949.89
  4. Step 4: Simplify right side
    57,502.89x = 1,375,746,916.02
  5. Step 5: Solve for x
    x = 1,375,746,916.02/57,502.89
  6. Step 6: Final answer
    x = 23,924.83

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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.