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Finding the Fourth Proportional to 81,042.70, 121,564.08 and 21,878.32

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Solution

The fourth proportional to 81,042.70, 121,564.08 and 21,878.32 is: 32,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,042.70 : 121,564.08 = 21,878.32 : x
  2. Step 2: Convert to fraction form
    81,042.70/121,564.08 = 21,878.32/x
  3. Step 3: Cross multiply
    81,042.70x = 121,564.08 × 21,878.32
  4. Step 4: Simplify right side
    81,042.70x = 2,659,617,842.75
  5. Step 5: Solve for x
    x = 2,659,617,842.75/81,042.70
  6. Step 6: Final answer
    x = 32,817.49

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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.