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Finding the Fourth Proportional to 57,104.59, 85,665.11 and 17,664.76

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Solution

The fourth proportional to 57,104.59, 85,665.11 and 17,664.76 is: 26,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,104.59 : 85,665.11 = 17,664.76 : x
  2. Step 2: Convert to fraction form
    57,104.59/85,665.11 = 17,664.76/x
  3. Step 3: Cross multiply
    57,104.59x = 85,665.11 × 17,664.76
  4. Step 4: Simplify right side
    57,104.59x = 1,513,253,608.52
  5. Step 5: Solve for x
    x = 1,513,253,608.52/57,104.59
  6. Step 6: Final answer
    x = 26,499.68

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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.