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Finding the Fourth Proportional to 57,528.72, 86,292.36 and 31,399.92

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Solution

The fourth proportional to 57,528.72, 86,292.36 and 31,399.92 is: 47,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,528.72 : 86,292.36 = 31,399.92 : x
  2. Step 2: Convert to fraction form
    57,528.72/86,292.36 = 31,399.92/x
  3. Step 3: Cross multiply
    57,528.72x = 86,292.36 × 31,399.92
  4. Step 4: Simplify right side
    57,528.72x = 2,709,573,200.61
  5. Step 5: Solve for x
    x = 2,709,573,200.61/57,528.72
  6. Step 6: Final answer
    x = 47,099.49

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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.