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Finding the Fourth Proportional to 84,404.48, 116,489.22 and 48,596

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Solution

The fourth proportional to 84,404.48, 116,489.22 and 48,596 is: 67,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,404.48 : 116,489.22 = 48,596 : x
  2. Step 2: Convert to fraction form
    84,404.48/116,489.22 = 48,596/x
  3. Step 3: Cross multiply
    84,404.48x = 116,489.22 × 48,596
  4. Step 4: Simplify right side
    84,404.48x = 5,660,910,135.12
  5. Step 5: Solve for x
    x = 5,660,910,135.12/84,404.48
  6. Step 6: Final answer
    x = 67,068.83

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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.