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Finding the Fourth Proportional to 71,371.20, 107,031.60 and 24,613.20

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Solution

The fourth proportional to 71,371.20, 107,031.60 and 24,613.20 is: 36,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,371.20 : 107,031.60 = 24,613.20 : x
  2. Step 2: Convert to fraction form
    71,371.20/107,031.60 = 24,613.20/x
  3. Step 3: Cross multiply
    71,371.20x = 107,031.60 × 24,613.20
  4. Step 4: Simplify right side
    71,371.20x = 2,634,390,177.12
  5. Step 5: Solve for x
    x = 2,634,390,177.12/71,371.20
  6. Step 6: Final answer
    x = 36,911.11

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1.5x scale

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.