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Finding the Fourth Proportional to 81,862.34, 122,788.49 and 48,147

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Solution

The fourth proportional to 81,862.34, 122,788.49 and 48,147 is: 72,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862.34 : 122,788.49 = 48,147 : x
  2. Step 2: Convert to fraction form
    81,862.34/122,788.49 = 48,147/x
  3. Step 3: Cross multiply
    81,862.34x = 122,788.49 × 48,147
  4. Step 4: Simplify right side
    81,862.34x = 5,911,897,428.03
  5. Step 5: Solve for x
    x = 5,911,897,428.03/81,862.34
  6. Step 6: Final answer
    x = 72,217.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.