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Finding the Fourth Proportional to 30,251.25, 45,376.72 and 7,761.83

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Solution

The fourth proportional to 30,251.25, 45,376.72 and 7,761.83 is: 11,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251.25 : 45,376.72 = 7,761.83 : x
  2. Step 2: Convert to fraction form
    30,251.25/45,376.72 = 7,761.83/x
  3. Step 3: Cross multiply
    30,251.25x = 45,376.72 × 7,761.83
  4. Step 4: Simplify right side
    30,251.25x = 352,206,140.31
  5. Step 5: Solve for x
    x = 352,206,140.31/30,251.25
  6. Step 6: Final answer
    x = 11,642.70

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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.