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Finding the Fourth Proportional to 32,052.08, 48,075.96 and 13,584.08

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Solution

The fourth proportional to 32,052.08, 48,075.96 and 13,584.08 is: 20,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052.08 : 48,075.96 = 13,584.08 : x
  2. Step 2: Convert to fraction form
    32,052.08/48,075.96 = 13,584.08/x
  3. Step 3: Cross multiply
    32,052.08x = 48,075.96 × 13,584.08
  4. Step 4: Simplify right side
    32,052.08x = 653,067,686.72
  5. Step 5: Solve for x
    x = 653,067,686.72/32,052.08
  6. Step 6: Final answer
    x = 20,375.20

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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.