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Finding the Fourth Proportional to 49,732.48, 68,630.40 and 27,376

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Solution

The fourth proportional to 49,732.48, 68,630.40 and 27,376 is: 37,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,732.48 : 68,630.40 = 27,376 : x
  2. Step 2: Convert to fraction form
    49,732.48/68,630.40 = 27,376/x
  3. Step 3: Cross multiply
    49,732.48x = 68,630.40 × 27,376
  4. Step 4: Simplify right side
    49,732.48x = 1,878,825,830.40
  5. Step 5: Solve for x
    x = 1,878,825,830.40/49,732.48
  6. Step 6: Final answer
    x = 37,778.65

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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.