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Finding the Fourth Proportional to 47,809.20, 71,713.80 and 32,062.80

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Solution

The fourth proportional to 47,809.20, 71,713.80 and 32,062.80 is: 48,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,809.20 : 71,713.80 = 32,062.80 : x
  2. Step 2: Convert to fraction form
    47,809.20/71,713.80 = 32,062.80/x
  3. Step 3: Cross multiply
    47,809.20x = 71,713.80 × 32,062.80
  4. Step 4: Simplify right side
    47,809.20x = 2,299,345,226.64
  5. Step 5: Solve for x
    x = 2,299,345,226.64/47,809.20
  6. Step 6: Final answer
    x = 48,094.20

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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.