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Finding the Fourth Proportional to 71,787.68, 107,686.80 and 21,872.04

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Solution

The fourth proportional to 71,787.68, 107,686.80 and 21,872.04 is: 32,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,787.68 : 107,686.80 = 21,872.04 : x
  2. Step 2: Convert to fraction form
    71,787.68/107,686.80 = 21,872.04/x
  3. Step 3: Cross multiply
    71,787.68x = 107,686.80 × 21,872.04
  4. Step 4: Simplify right side
    71,787.68x = 2,355,329,997.07
  5. Step 5: Solve for x
    x = 2,355,329,997.07/71,787.68
  6. Step 6: Final answer
    x = 32,809.67

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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.