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Finding the Fourth Proportional to 82,011.17, 122,737.84 and 50,404.61

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Solution

The fourth proportional to 82,011.17, 122,737.84 and 50,404.61 is: 75,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,011.17 : 122,737.84 = 50,404.61 : x
  2. Step 2: Convert to fraction form
    82,011.17/122,737.84 = 50,404.61/x
  3. Step 3: Cross multiply
    82,011.17x = 122,737.84 × 50,404.61
  4. Step 4: Simplify right side
    82,011.17x = 6,186,553,138.28
  5. Step 5: Solve for x
    x = 6,186,553,138.28/82,011.17
  6. Step 6: Final answer
    x = 75,435.49

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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.