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Finding the Fourth Proportional to 32,591.64, 48,891.32 and 11,527.28

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Solution

The fourth proportional to 32,591.64, 48,891.32 and 11,527.28 is: 17,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.64 : 48,891.32 = 11,527.28 : x
  2. Step 2: Convert to fraction form
    32,591.64/48,891.32 = 11,527.28/x
  3. Step 3: Cross multiply
    32,591.64x = 48,891.32 × 11,527.28
  4. Step 4: Simplify right side
    32,591.64x = 563,583,935.21
  5. Step 5: Solve for x
    x = 563,583,935.21/32,591.64
  6. Step 6: Final answer
    x = 17,292.29

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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.