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Finding the Fourth Proportional to 47,046.57, 70,582.89 and 21,753.80

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Solution

The fourth proportional to 47,046.57, 70,582.89 and 21,753.80 is: 32,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046.57 : 70,582.89 = 21,753.80 : x
  2. Step 2: Convert to fraction form
    47,046.57/70,582.89 = 21,753.80/x
  3. Step 3: Cross multiply
    47,046.57x = 70,582.89 × 21,753.80
  4. Step 4: Simplify right side
    47,046.57x = 1,535,446,065.83
  5. Step 5: Solve for x
    x = 1,535,446,065.83/47,046.57
  6. Step 6: Final answer
    x = 32,636.73

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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.