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Finding the Fourth Proportional to 32,177.39, 48,200.38 and 16,562.21

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Solution

The fourth proportional to 32,177.39, 48,200.38 and 16,562.21 is: 24,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.39 : 48,200.38 = 16,562.21 : x
  2. Step 2: Convert to fraction form
    32,177.39/48,200.38 = 16,562.21/x
  3. Step 3: Cross multiply
    32,177.39x = 48,200.38 × 16,562.21
  4. Step 4: Simplify right side
    32,177.39x = 798,304,815.64
  5. Step 5: Solve for x
    x = 798,304,815.64/32,177.39
  6. Step 6: Final answer
    x = 24,809.50

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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.