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Finding the Fourth Proportional to 57,133.92, 85,708.80 and 17,694.24

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Solution

The fourth proportional to 57,133.92, 85,708.80 and 17,694.24 is: 26,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,133.92 : 85,708.80 = 17,694.24 : x
  2. Step 2: Convert to fraction form
    57,133.92/85,708.80 = 17,694.24/x
  3. Step 3: Cross multiply
    57,133.92x = 85,708.80 × 17,694.24
  4. Step 4: Simplify right side
    57,133.92x = 1,516,552,077.31
  5. Step 5: Solve for x
    x = 1,516,552,077.31/57,133.92
  6. Step 6: Final answer
    x = 26,543.81

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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.