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Finding the Fourth Proportional to 54,220.75, 80,962.11 and 47,842.47

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Solution

The fourth proportional to 54,220.75, 80,962.11 and 47,842.47 is: 71,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,220.75 : 80,962.11 = 47,842.47 : x
  2. Step 2: Convert to fraction form
    54,220.75/80,962.11 = 47,842.47/x
  3. Step 3: Cross multiply
    54,220.75x = 80,962.11 × 47,842.47
  4. Step 4: Simplify right side
    54,220.75x = 3,873,427,318.81
  5. Step 5: Solve for x
    x = 3,873,427,318.81/54,220.75
  6. Step 6: Final answer
    x = 71,438.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.