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Finding the Fourth Proportional to 81,909.20, 122,833.08 and 35,138

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Solution

The fourth proportional to 81,909.20, 122,833.08 and 35,138 is: 52,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.20 : 122,833.08 = 35,138 : x
  2. Step 2: Convert to fraction form
    81,909.20/122,833.08 = 35,138/x
  3. Step 3: Cross multiply
    81,909.20x = 122,833.08 × 35,138
  4. Step 4: Simplify right side
    81,909.20x = 4,316,108,765.04
  5. Step 5: Solve for x
    x = 4,316,108,765.04/81,909.20
  6. Step 6: Final answer
    x = 52,693.82

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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.