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Finding the Fourth Proportional to 32,402.80, 48,565.80 and 16,812.40

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Solution

The fourth proportional to 32,402.80, 48,565.80 and 16,812.40 is: 25,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.80 : 48,565.80 = 16,812.40 : x
  2. Step 2: Convert to fraction form
    32,402.80/48,565.80 = 16,812.40/x
  3. Step 3: Cross multiply
    32,402.80x = 48,565.80 × 16,812.40
  4. Step 4: Simplify right side
    32,402.80x = 816,507,655.92
  5. Step 5: Solve for x
    x = 816,507,655.92/32,402.80
  6. Step 6: Final answer
    x = 25,198.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.