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Finding the Fourth Proportional to 32,180.80, 48,271.20 and 29,264.80

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Solution

The fourth proportional to 32,180.80, 48,271.20 and 29,264.80 is: 43,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.80 : 48,271.20 = 29,264.80 : x
  2. Step 2: Convert to fraction form
    32,180.80/48,271.20 = 29,264.80/x
  3. Step 3: Cross multiply
    32,180.80x = 48,271.20 × 29,264.80
  4. Step 4: Simplify right side
    32,180.80x = 1,412,647,013.76
  5. Step 5: Solve for x
    x = 1,412,647,013.76/32,180.80
  6. Step 6: Final answer
    x = 43,897.20

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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.