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Finding the Fourth Proportional to 82,544.80, 113,869.20 and 52,279.20

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Solution

The fourth proportional to 82,544.80, 113,869.20 and 52,279.20 is: 72,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,544.80 : 113,869.20 = 52,279.20 : x
  2. Step 2: Convert to fraction form
    82,544.80/113,869.20 = 52,279.20/x
  3. Step 3: Cross multiply
    82,544.80x = 113,869.20 × 52,279.20
  4. Step 4: Simplify right side
    82,544.80x = 5,952,990,680.64
  5. Step 5: Solve for x
    x = 5,952,990,680.64/82,544.80
  6. Step 6: Final answer
    x = 72,118.30

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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.