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Finding the Fourth Proportional to 32,476.49, 48,709.24 and 9,097.55

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Solution

The fourth proportional to 32,476.49, 48,709.24 and 9,097.55 is: 13,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.49 : 48,709.24 = 9,097.55 : x
  2. Step 2: Convert to fraction form
    32,476.49/48,709.24 = 9,097.55/x
  3. Step 3: Cross multiply
    32,476.49x = 48,709.24 × 9,097.55
  4. Step 4: Simplify right side
    32,476.49x = 443,134,480.07
  5. Step 5: Solve for x
    x = 443,134,480.07/32,476.49
  6. Step 6: Final answer
    x = 13,644.78

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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.