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Finding the Fourth Proportional to 57,761.57, 86,674.76 and 31,468.16

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Solution

The fourth proportional to 57,761.57, 86,674.76 and 31,468.16 is: 47,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,761.57 : 86,674.76 = 31,468.16 : x
  2. Step 2: Convert to fraction form
    57,761.57/86,674.76 = 31,468.16/x
  3. Step 3: Cross multiply
    57,761.57x = 86,674.76 × 31,468.16
  4. Step 4: Simplify right side
    57,761.57x = 2,727,495,392.99
  5. Step 5: Solve for x
    x = 2,727,495,392.99/57,761.57
  6. Step 6: Final answer
    x = 47,219.90

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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.