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Finding the Fourth Proportional to 78,548.22, 108,419.67 and 47,932.38

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Solution

The fourth proportional to 78,548.22, 108,419.67 and 47,932.38 is: 66,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,548.22 : 108,419.67 = 47,932.38 : x
  2. Step 2: Convert to fraction form
    78,548.22/108,419.67 = 47,932.38/x
  3. Step 3: Cross multiply
    78,548.22x = 108,419.67 × 47,932.38
  4. Step 4: Simplify right side
    78,548.22x = 5,196,812,821.91
  5. Step 5: Solve for x
    x = 5,196,812,821.91/78,548.22
  6. Step 6: Final answer
    x = 66,160.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.