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Finding the Fourth Proportional to 38,658.60, 53,446.37 and 28,571.13

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Solution

The fourth proportional to 38,658.60, 53,446.37 and 28,571.13 is: 39,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.60 : 53,446.37 = 28,571.13 : x
  2. Step 2: Convert to fraction form
    38,658.60/53,446.37 = 28,571.13/x
  3. Step 3: Cross multiply
    38,658.60x = 53,446.37 × 28,571.13
  4. Step 4: Simplify right side
    38,658.60x = 1,527,023,042.44
  5. Step 5: Solve for x
    x = 1,527,023,042.44/38,658.60
  6. Step 6: Final answer
    x = 39,500.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.