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Finding the Fourth Proportional to 32,449.64, 48,682.56 and 9,075.90

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Solution

The fourth proportional to 32,449.64, 48,682.56 and 9,075.90 is: 13,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.64 : 48,682.56 = 9,075.90 : x
  2. Step 2: Convert to fraction form
    32,449.64/48,682.56 = 9,075.90/x
  3. Step 3: Cross multiply
    32,449.64x = 48,682.56 × 9,075.90
  4. Step 4: Simplify right side
    32,449.64x = 441,838,046.30
  5. Step 5: Solve for x
    x = 441,838,046.30/32,449.64
  6. Step 6: Final answer
    x = 13,616.12

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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.