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Finding the Fourth Proportional to 70,245.80, 96,938.06 and 38,414.02

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Solution

The fourth proportional to 70,245.80, 96,938.06 and 38,414.02 is: 53,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,245.80 : 96,938.06 = 38,414.02 : x
  2. Step 2: Convert to fraction form
    70,245.80/96,938.06 = 38,414.02/x
  3. Step 3: Cross multiply
    70,245.80x = 96,938.06 × 38,414.02
  4. Step 4: Simplify right side
    70,245.80x = 3,723,780,575.60
  5. Step 5: Solve for x
    x = 3,723,780,575.60/70,245.80
  6. Step 6: Final answer
    x = 53,010.72

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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.