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Finding the Fourth Proportional to 34,097.76, 51,115.86 and 14,377.50

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Solution

The fourth proportional to 34,097.76, 51,115.86 and 14,377.50 is: 21,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.76 : 51,115.86 = 14,377.50 : x
  2. Step 2: Convert to fraction form
    34,097.76/51,115.86 = 14,377.50/x
  3. Step 3: Cross multiply
    34,097.76x = 51,115.86 × 14,377.50
  4. Step 4: Simplify right side
    34,097.76x = 734,918,277.15
  5. Step 5: Solve for x
    x = 734,918,277.15/34,097.76
  6. Step 6: Final answer
    x = 21,553.27

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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.