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Finding the Fourth Proportional to 47,687.80, 71,444.46 and 22,340.76

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Solution

The fourth proportional to 47,687.80, 71,444.46 and 22,340.76 is: 33,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.80 : 71,444.46 = 22,340.76 : x
  2. Step 2: Convert to fraction form
    47,687.80/71,444.46 = 22,340.76/x
  3. Step 3: Cross multiply
    47,687.80x = 71,444.46 × 22,340.76
  4. Step 4: Simplify right side
    47,687.80x = 1,596,123,534.19
  5. Step 5: Solve for x
    x = 1,596,123,534.19/47,687.80
  6. Step 6: Final answer
    x = 33,470.27

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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.