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Finding the Fourth Proportional to 32,282.74, 48,425.28 and 8,911

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Solution

The fourth proportional to 32,282.74, 48,425.28 and 8,911 is: 13,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.74 : 48,425.28 = 8,911 : x
  2. Step 2: Convert to fraction form
    32,282.74/48,425.28 = 8,911/x
  3. Step 3: Cross multiply
    32,282.74x = 48,425.28 × 8,911
  4. Step 4: Simplify right side
    32,282.74x = 431,517,670.08
  5. Step 5: Solve for x
    x = 431,517,670.08/32,282.74
  6. Step 6: Final answer
    x = 13,366.82

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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.