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Finding the Fourth Proportional to 81,853.80, 122,793 and 29,259.18

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Solution

The fourth proportional to 81,853.80, 122,793 and 29,259.18 is: 43,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,853.80 : 122,793 = 29,259.18 : x
  2. Step 2: Convert to fraction form
    81,853.80/122,793 = 29,259.18/x
  3. Step 3: Cross multiply
    81,853.80x = 122,793 × 29,259.18
  4. Step 4: Simplify right side
    81,853.80x = 3,592,822,489.74
  5. Step 5: Solve for x
    x = 3,592,822,489.74/81,853.80
  6. Step 6: Final answer
    x = 43,893.17

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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.