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Finding the Fourth Proportional to 71,787.68, 107,696.87 and 21,871.76

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Solution

The fourth proportional to 71,787.68, 107,696.87 and 21,871.76 is: 32,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,787.68 : 107,696.87 = 21,871.76 : x
  2. Step 2: Convert to fraction form
    71,787.68/107,696.87 = 21,871.76/x
  3. Step 3: Cross multiply
    71,787.68x = 107,696.87 × 21,871.76
  4. Step 4: Simplify right side
    71,787.68x = 2,355,520,374.75
  5. Step 5: Solve for x
    x = 2,355,520,374.75/71,787.68
  6. Step 6: Final answer
    x = 32,812.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.