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Finding the Fourth Proportional to 70,906.98, 97,850.38 and 38,641.89

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Solution

The fourth proportional to 70,906.98, 97,850.38 and 38,641.89 is: 53,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.98 : 97,850.38 = 38,641.89 : x
  2. Step 2: Convert to fraction form
    70,906.98/97,850.38 = 38,641.89/x
  3. Step 3: Cross multiply
    70,906.98x = 97,850.38 × 38,641.89
  4. Step 4: Simplify right side
    70,906.98x = 3,781,123,620.42
  5. Step 5: Solve for x
    x = 3,781,123,620.42/70,906.98
  6. Step 6: Final answer
    x = 53,325.13

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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.