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Finding the Fourth Proportional to 34,034.43, 51,020.52 and 14,314.38

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Solution

The fourth proportional to 34,034.43, 51,020.52 and 14,314.38 is: 21,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,034.43 : 51,020.52 = 14,314.38 : x
  2. Step 2: Convert to fraction form
    34,034.43/51,020.52 = 14,314.38/x
  3. Step 3: Cross multiply
    34,034.43x = 51,020.52 × 14,314.38
  4. Step 4: Simplify right side
    34,034.43x = 730,327,111.08
  5. Step 5: Solve for x
    x = 730,327,111.08/34,034.43
  6. Step 6: Final answer
    x = 21,458.48

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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.