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Finding the Fourth Proportional to 27,105.68, 40,642.32 and 10,451.90

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Solution

The fourth proportional to 27,105.68, 40,642.32 and 10,451.90 is: 15,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.68 : 40,642.32 = 10,451.90 : x
  2. Step 2: Convert to fraction form
    27,105.68/40,642.32 = 10,451.90/x
  3. Step 3: Cross multiply
    27,105.68x = 40,642.32 × 10,451.90
  4. Step 4: Simplify right side
    27,105.68x = 424,789,464.41
  5. Step 5: Solve for x
    x = 424,789,464.41/27,105.68
  6. Step 6: Final answer
    x = 15,671.60

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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.