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Finding the Fourth Proportional to 49,144.32, 67,780.80 and 34,042.68

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Solution

The fourth proportional to 49,144.32, 67,780.80 and 34,042.68 is: 46,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144.32 : 67,780.80 = 34,042.68 : x
  2. Step 2: Convert to fraction form
    49,144.32/67,780.80 = 34,042.68/x
  3. Step 3: Cross multiply
    49,144.32x = 67,780.80 × 34,042.68
  4. Step 4: Simplify right side
    49,144.32x = 2,307,440,084.54
  5. Step 5: Solve for x
    x = 2,307,440,084.54/49,144.32
  6. Step 6: Final answer
    x = 46,952.33

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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.