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Finding the Fourth Proportional to 61,084.94, 84,338.28 and 38,149.65

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Solution

The fourth proportional to 61,084.94, 84,338.28 and 38,149.65 is: 52,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,084.94 : 84,338.28 = 38,149.65 : x
  2. Step 2: Convert to fraction form
    61,084.94/84,338.28 = 38,149.65/x
  3. Step 3: Cross multiply
    61,084.94x = 84,338.28 × 38,149.65
  4. Step 4: Simplify right side
    61,084.94x = 3,217,475,863.60
  5. Step 5: Solve for x
    x = 3,217,475,863.60/61,084.94
  6. Step 6: Final answer
    x = 52,672.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.