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Finding the Fourth Proportional to 72,454.62, 108,682.35 and 32,984.13

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Solution

The fourth proportional to 72,454.62, 108,682.35 and 32,984.13 is: 49,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,454.62 : 108,682.35 = 32,984.13 : x
  2. Step 2: Convert to fraction form
    72,454.62/108,682.35 = 32,984.13/x
  3. Step 3: Cross multiply
    72,454.62x = 108,682.35 × 32,984.13
  4. Step 4: Simplify right side
    72,454.62x = 3,584,792,761.11
  5. Step 5: Solve for x
    x = 3,584,792,761.11/72,454.62
  6. Step 6: Final answer
    x = 49,476.39

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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.