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Finding the Fourth Proportional to 34,716.30, 51,769.61 and 34,400.55

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Solution

The fourth proportional to 34,716.30, 51,769.61 and 34,400.55 is: 51,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716.30 : 51,769.61 = 34,400.55 : x
  2. Step 2: Convert to fraction form
    34,716.30/51,769.61 = 34,400.55/x
  3. Step 3: Cross multiply
    34,716.30x = 51,769.61 × 34,400.55
  4. Step 4: Simplify right side
    34,716.30x = 1,780,902,820.47
  5. Step 5: Solve for x
    x = 1,780,902,820.47/34,716.30
  6. Step 6: Final answer
    x = 51,298.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.