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Finding the Fourth Proportional to 82,219.52, 122,972.94 and 48,404.95

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Solution

The fourth proportional to 82,219.52, 122,972.94 and 48,404.95 is: 72,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.52 : 122,972.94 = 48,404.95 : x
  2. Step 2: Convert to fraction form
    82,219.52/122,972.94 = 48,404.95/x
  3. Step 3: Cross multiply
    82,219.52x = 122,972.94 × 48,404.95
  4. Step 4: Simplify right side
    82,219.52x = 5,952,498,397.19
  5. Step 5: Solve for x
    x = 5,952,498,397.19/82,219.52
  6. Step 6: Final answer
    x = 72,397.63

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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.