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Finding the Fourth Proportional to 83,478.40, 125,229.84 and 24,306.40

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Solution

The fourth proportional to 83,478.40, 125,229.84 and 24,306.40 is: 36,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.40 : 125,229.84 = 24,306.40 : x
  2. Step 2: Convert to fraction form
    83,478.40/125,229.84 = 24,306.40/x
  3. Step 3: Cross multiply
    83,478.40x = 125,229.84 × 24,306.40
  4. Step 4: Simplify right side
    83,478.40x = 3,043,886,582.98
  5. Step 5: Solve for x
    x = 3,043,886,582.98/83,478.40
  6. Step 6: Final answer
    x = 36,463.16

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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.