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Finding the Fourth Proportional to 71,129.52, 106,705.80 and 21,870

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Solution

The fourth proportional to 71,129.52, 106,705.80 and 21,870 is: 32,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,129.52 : 106,705.80 = 21,870 : x
  2. Step 2: Convert to fraction form
    71,129.52/106,705.80 = 21,870/x
  3. Step 3: Cross multiply
    71,129.52x = 106,705.80 × 21,870
  4. Step 4: Simplify right side
    71,129.52x = 2,333,655,846
  5. Step 5: Solve for x
    x = 2,333,655,846/71,129.52
  6. Step 6: Final answer
    x = 32,808.54

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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.