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Finding the Fourth Proportional to 34,416.27, 51,642.17 and 14,689.53

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Solution

The fourth proportional to 34,416.27, 51,642.17 and 14,689.53 is: 22,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416.27 : 51,642.17 = 14,689.53 : x
  2. Step 2: Convert to fraction form
    34,416.27/51,642.17 = 14,689.53/x
  3. Step 3: Cross multiply
    34,416.27x = 51,642.17 × 14,689.53
  4. Step 4: Simplify right side
    34,416.27x = 758,599,205.48
  5. Step 5: Solve for x
    x = 758,599,205.48/34,416.27
  6. Step 6: Final answer
    x = 22,041.88

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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.