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Finding the Fourth Proportional to 42,472.20, 58,619.76 and 28,132.20

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Solution

The fourth proportional to 42,472.20, 58,619.76 and 28,132.20 is: 38,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472.20 : 58,619.76 = 28,132.20 : x
  2. Step 2: Convert to fraction form
    42,472.20/58,619.76 = 28,132.20/x
  3. Step 3: Cross multiply
    42,472.20x = 58,619.76 × 28,132.20
  4. Step 4: Simplify right side
    42,472.20x = 1,649,102,812.27
  5. Step 5: Solve for x
    x = 1,649,102,812.27/42,472.20
  6. Step 6: Final answer
    x = 38,827.82

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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.