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Finding the Fourth Proportional to 34,447.14, 51,680.43 and 13,685.22

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Solution

The fourth proportional to 34,447.14, 51,680.43 and 13,685.22 is: 20,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,447.14 : 51,680.43 = 13,685.22 : x
  2. Step 2: Convert to fraction form
    34,447.14/51,680.43 = 13,685.22/x
  3. Step 3: Cross multiply
    34,447.14x = 51,680.43 × 13,685.22
  4. Step 4: Simplify right side
    34,447.14x = 707,258,054.24
  5. Step 5: Solve for x
    x = 707,258,054.24/34,447.14
  6. Step 6: Final answer
    x = 20,531.69

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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.