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Finding the Fourth Proportional to 83,189.50, 114,794.96 and 47,372.38

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Solution

The fourth proportional to 83,189.50, 114,794.96 and 47,372.38 is: 65,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189.50 : 114,794.96 = 47,372.38 : x
  2. Step 2: Convert to fraction form
    83,189.50/114,794.96 = 47,372.38/x
  3. Step 3: Cross multiply
    83,189.50x = 114,794.96 × 47,372.38
  4. Step 4: Simplify right side
    83,189.50x = 5,438,110,467.20
  5. Step 5: Solve for x
    x = 5,438,110,467.20/83,189.50
  6. Step 6: Final answer
    x = 65,370.15

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1.5x scale

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.