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Finding the Fourth Proportional to 47,776, 71,673 and 22,817.92

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Solution

The fourth proportional to 47,776, 71,673 and 22,817.92 is: 34,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776 : 71,673 = 22,817.92 : x
  2. Step 2: Convert to fraction form
    47,776/71,673 = 22,817.92/x
  3. Step 3: Cross multiply
    47,776x = 71,673 × 22,817.92
  4. Step 4: Simplify right side
    47,776x = 1,635,428,780.16
  5. Step 5: Solve for x
    x = 1,635,428,780.16/47,776
  6. Step 6: Final answer
    x = 34,231.18

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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.