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Finding the Fourth Proportional to 32,176.80, 48,226.80 and 13,456.80

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Solution

The fourth proportional to 32,176.80, 48,226.80 and 13,456.80 is: 20,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.80 : 48,226.80 = 13,456.80 : x
  2. Step 2: Convert to fraction form
    32,176.80/48,226.80 = 13,456.80/x
  3. Step 3: Cross multiply
    32,176.80x = 48,226.80 × 13,456.80
  4. Step 4: Simplify right side
    32,176.80x = 648,978,402.24
  5. Step 5: Solve for x
    x = 648,978,402.24/32,176.80
  6. Step 6: Final answer
    x = 20,169.14

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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.