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Finding the Fourth Proportional to 32,862.80, 49,295.80 and 9,170.30

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Solution

The fourth proportional to 32,862.80, 49,295.80 and 9,170.30 is: 13,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.80 : 49,295.80 = 9,170.30 : x
  2. Step 2: Convert to fraction form
    32,862.80/49,295.80 = 9,170.30/x
  3. Step 3: Cross multiply
    32,862.80x = 49,295.80 × 9,170.30
  4. Step 4: Simplify right side
    32,862.80x = 452,057,274.74
  5. Step 5: Solve for x
    x = 452,057,274.74/32,862.80
  6. Step 6: Final answer
    x = 13,755.90

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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.