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Finding the Fourth Proportional to 49,242.53, 67,954.28 and 28,022.96

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Solution

The fourth proportional to 49,242.53, 67,954.28 and 28,022.96 is: 38,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,242.53 : 67,954.28 = 28,022.96 : x
  2. Step 2: Convert to fraction form
    49,242.53/67,954.28 = 28,022.96/x
  3. Step 3: Cross multiply
    49,242.53x = 67,954.28 × 28,022.96
  4. Step 4: Simplify right side
    49,242.53x = 1,904,280,100.04
  5. Step 5: Solve for x
    x = 1,904,280,100.04/49,242.53
  6. Step 6: Final answer
    x = 38,671.45

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Why These Related Problems?

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