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Finding the Fourth Proportional to 47,876.80, 71,818.40 and 16,286.40

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Solution

The fourth proportional to 47,876.80, 71,818.40 and 16,286.40 is: 24,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876.80 : 71,818.40 = 16,286.40 : x
  2. Step 2: Convert to fraction form
    47,876.80/71,818.40 = 16,286.40/x
  3. Step 3: Cross multiply
    47,876.80x = 71,818.40 × 16,286.40
  4. Step 4: Simplify right side
    47,876.80x = 1,169,663,189.76
  5. Step 5: Solve for x
    x = 1,169,663,189.76/47,876.80
  6. Step 6: Final answer
    x = 24,430.69

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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.