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Finding the Fourth Proportional to 57,242.52, 85,854.06 and 15,123.06

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Solution

The fourth proportional to 57,242.52, 85,854.06 and 15,123.06 is: 22,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.52 : 85,854.06 = 15,123.06 : x
  2. Step 2: Convert to fraction form
    57,242.52/85,854.06 = 15,123.06/x
  3. Step 3: Cross multiply
    57,242.52x = 85,854.06 × 15,123.06
  4. Step 4: Simplify right side
    57,242.52x = 1,298,376,100.62
  5. Step 5: Solve for x
    x = 1,298,376,100.62/57,242.52
  6. Step 6: Final answer
    x = 22,682.02

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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.