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Finding the Fourth Proportional to 54,229.20, 81,235.80 and 47,734.80

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Solution

The fourth proportional to 54,229.20, 81,235.80 and 47,734.80 is: 71,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,229.20 : 81,235.80 = 47,734.80 : x
  2. Step 2: Convert to fraction form
    54,229.20/81,235.80 = 47,734.80/x
  3. Step 3: Cross multiply
    54,229.20x = 81,235.80 × 47,734.80
  4. Step 4: Simplify right side
    54,229.20x = 3,877,774,665.84
  5. Step 5: Solve for x
    x = 3,877,774,665.84/54,229.20
  6. Step 6: Final answer
    x = 71,507.13

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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.