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Finding the Fourth Proportional to 27,975.68, 41,950.56 and 10,432.88

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Solution

The fourth proportional to 27,975.68, 41,950.56 and 10,432.88 is: 15,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975.68 : 41,950.56 = 10,432.88 : x
  2. Step 2: Convert to fraction form
    27,975.68/41,950.56 = 10,432.88/x
  3. Step 3: Cross multiply
    27,975.68x = 41,950.56 × 10,432.88
  4. Step 4: Simplify right side
    27,975.68x = 437,665,158.41
  5. Step 5: Solve for x
    x = 437,665,158.41/27,975.68
  6. Step 6: Final answer
    x = 15,644.49

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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.