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Finding the Fourth Proportional to 70,624.85, 97,462.98 and 38,793.75

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Solution

The fourth proportional to 70,624.85, 97,462.98 and 38,793.75 is: 53,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,624.85 : 97,462.98 = 38,793.75 : x
  2. Step 2: Convert to fraction form
    70,624.85/97,462.98 = 38,793.75/x
  3. Step 3: Cross multiply
    70,624.85x = 97,462.98 × 38,793.75
  4. Step 4: Simplify right side
    70,624.85x = 3,780,954,480.38
  5. Step 5: Solve for x
    x = 3,780,954,480.38/70,624.85
  6. Step 6: Final answer
    x = 53,535.75

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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.