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Finding the Fourth Proportional to 47,162.60, 70,654.78 and 27,870.80

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Solution

The fourth proportional to 47,162.60, 70,654.78 and 27,870.80 is: 41,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,162.60 : 70,654.78 = 27,870.80 : x
  2. Step 2: Convert to fraction form
    47,162.60/70,654.78 = 27,870.80/x
  3. Step 3: Cross multiply
    47,162.60x = 70,654.78 × 27,870.80
  4. Step 4: Simplify right side
    47,162.60x = 1,969,205,188.94
  5. Step 5: Solve for x
    x = 1,969,205,188.94/47,162.60
  6. Step 6: Final answer
    x = 41,753.53

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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.