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Finding the Fourth Proportional to 32,982.27, 45,515.03 and 17,874.80

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Solution

The fourth proportional to 32,982.27, 45,515.03 and 17,874.80 is: 24,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.27 : 45,515.03 = 17,874.80 : x
  2. Step 2: Convert to fraction form
    32,982.27/45,515.03 = 17,874.80/x
  3. Step 3: Cross multiply
    32,982.27x = 45,515.03 × 17,874.80
  4. Step 4: Simplify right side
    32,982.27x = 813,572,168.00
  5. Step 5: Solve for x
    x = 813,572,168.00/32,982.27
  6. Step 6: Final answer
    x = 24,666.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.