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Finding the Fourth Proportional to 32,830.62, 49,241.82 and 9,139.95

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Solution

The fourth proportional to 32,830.62, 49,241.82 and 9,139.95 is: 13,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.62 : 49,241.82 = 9,139.95 : x
  2. Step 2: Convert to fraction form
    32,830.62/49,241.82 = 9,139.95/x
  3. Step 3: Cross multiply
    32,830.62x = 49,241.82 × 9,139.95
  4. Step 4: Simplify right side
    32,830.62x = 450,067,772.71
  5. Step 5: Solve for x
    x = 450,067,772.71/32,830.62
  6. Step 6: Final answer
    x = 13,708.78

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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.