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Finding the Fourth Proportional to 32,043.90, 48,115.20 and 27,111.06

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Solution

The fourth proportional to 32,043.90, 48,115.20 and 27,111.06 is: 40,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.90 : 48,115.20 = 27,111.06 : x
  2. Step 2: Convert to fraction form
    32,043.90/48,115.20 = 27,111.06/x
  3. Step 3: Cross multiply
    32,043.90x = 48,115.20 × 27,111.06
  4. Step 4: Simplify right side
    32,043.90x = 1,304,454,074.11
  5. Step 5: Solve for x
    x = 1,304,454,074.11/32,043.90
  6. Step 6: Final answer
    x = 40,708.34

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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.