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Finding the Fourth Proportional to 91,774.60, 137,489.10 and 47,249.80

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Solution

The fourth proportional to 91,774.60, 137,489.10 and 47,249.80 is: 70,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,774.60 : 137,489.10 = 47,249.80 : x
  2. Step 2: Convert to fraction form
    91,774.60/137,489.10 = 47,249.80/x
  3. Step 3: Cross multiply
    91,774.60x = 137,489.10 × 47,249.80
  4. Step 4: Simplify right side
    91,774.60x = 6,496,332,477.18
  5. Step 5: Solve for x
    x = 6,496,332,477.18/91,774.60
  6. Step 6: Final answer
    x = 70,785.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.