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Finding the Fourth Proportional to 78,497.10, 108,318.24 and 44,498.88

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Solution

The fourth proportional to 78,497.10, 108,318.24 and 44,498.88 is: 61,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.10 : 108,318.24 = 44,498.88 : x
  2. Step 2: Convert to fraction form
    78,497.10/108,318.24 = 44,498.88/x
  3. Step 3: Cross multiply
    78,497.10x = 108,318.24 × 44,498.88
  4. Step 4: Simplify right side
    78,497.10x = 4,820,040,363.57
  5. Step 5: Solve for x
    x = 4,820,040,363.57/78,497.10
  6. Step 6: Final answer
    x = 61,404.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.