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Finding the Fourth Proportional to 32,151.80, 48,227.70 and 21,654.20

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Solution

The fourth proportional to 32,151.80, 48,227.70 and 21,654.20 is: 32,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.80 : 48,227.70 = 21,654.20 : x
  2. Step 2: Convert to fraction form
    32,151.80/48,227.70 = 21,654.20/x
  3. Step 3: Cross multiply
    32,151.80x = 48,227.70 × 21,654.20
  4. Step 4: Simplify right side
    32,151.80x = 1,044,332,261.34
  5. Step 5: Solve for x
    x = 1,044,332,261.34/32,151.80
  6. Step 6: Final answer
    x = 32,481.30

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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.