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Finding the Fourth Proportional to 82,871.60, 124,294.20 and 27,467.60

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Solution

The fourth proportional to 82,871.60, 124,294.20 and 27,467.60 is: 41,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.60 : 124,294.20 = 27,467.60 : x
  2. Step 2: Convert to fraction form
    82,871.60/124,294.20 = 27,467.60/x
  3. Step 3: Cross multiply
    82,871.60x = 124,294.20 × 27,467.60
  4. Step 4: Simplify right side
    82,871.60x = 3,414,063,367.92
  5. Step 5: Solve for x
    x = 3,414,063,367.92/82,871.60
  6. Step 6: Final answer
    x = 41,197.02

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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.