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Finding the Fourth Proportional to 32,449.64, 48,682.56 and 9,075.88

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Solution

The fourth proportional to 32,449.64, 48,682.56 and 9,075.88 is: 13,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.64 : 48,682.56 = 9,075.88 : x
  2. Step 2: Convert to fraction form
    32,449.64/48,682.56 = 9,075.88/x
  3. Step 3: Cross multiply
    32,449.64x = 48,682.56 × 9,075.88
  4. Step 4: Simplify right side
    32,449.64x = 441,837,072.65
  5. Step 5: Solve for x
    x = 441,837,072.65/32,449.64
  6. Step 6: Final answer
    x = 13,616.09

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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.