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Finding the Fourth Proportional to 32,441.64, 48,675.18 and 12,716.82

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Solution

The fourth proportional to 32,441.64, 48,675.18 and 12,716.82 is: 19,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.64 : 48,675.18 = 12,716.82 : x
  2. Step 2: Convert to fraction form
    32,441.64/48,675.18 = 12,716.82/x
  3. Step 3: Cross multiply
    32,441.64x = 48,675.18 × 12,716.82
  4. Step 4: Simplify right side
    32,441.64x = 618,993,502.53
  5. Step 5: Solve for x
    x = 618,993,502.53/32,441.64
  6. Step 6: Final answer
    x = 19,080.22

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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.