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Finding the Fourth Proportional to 48,381.68, 72,557.16 and 15,542

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Solution

The fourth proportional to 48,381.68, 72,557.16 and 15,542 is: 23,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,381.68 : 72,557.16 = 15,542 : x
  2. Step 2: Convert to fraction form
    48,381.68/72,557.16 = 15,542/x
  3. Step 3: Cross multiply
    48,381.68x = 72,557.16 × 15,542
  4. Step 4: Simplify right side
    48,381.68x = 1,127,683,380.72
  5. Step 5: Solve for x
    x = 1,127,683,380.72/48,381.68
  6. Step 6: Final answer
    x = 23,308.07

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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.