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Finding the Fourth Proportional to 70,200.98, 96,876.85 and 38,369.30

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Solution

The fourth proportional to 70,200.98, 96,876.85 and 38,369.30 is: 52,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200.98 : 96,876.85 = 38,369.30 : x
  2. Step 2: Convert to fraction form
    70,200.98/96,876.85 = 38,369.30/x
  3. Step 3: Cross multiply
    70,200.98x = 96,876.85 × 38,369.30
  4. Step 4: Simplify right side
    70,200.98x = 3,717,096,920.71
  5. Step 5: Solve for x
    x = 3,717,096,920.71/70,200.98
  6. Step 6: Final answer
    x = 52,949.36

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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.