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Finding the Fourth Proportional to 57,055.38, 85,583.27 and 15,502.38

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Solution

The fourth proportional to 57,055.38, 85,583.27 and 15,502.38 is: 23,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.38 : 85,583.27 = 15,502.38 : x
  2. Step 2: Convert to fraction form
    57,055.38/85,583.27 = 15,502.38/x
  3. Step 3: Cross multiply
    57,055.38x = 85,583.27 × 15,502.38
  4. Step 4: Simplify right side
    57,055.38x = 1,326,744,373.18
  5. Step 5: Solve for x
    x = 1,326,744,373.18/57,055.38
  6. Step 6: Final answer
    x = 23,253.62

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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.