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Finding the Fourth Proportional to 49,238.64, 67,957.14 and 28,024.74

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Solution

The fourth proportional to 49,238.64, 67,957.14 and 28,024.74 is: 38,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,238.64 : 67,957.14 = 28,024.74 : x
  2. Step 2: Convert to fraction form
    49,238.64/67,957.14 = 28,024.74/x
  3. Step 3: Cross multiply
    49,238.64x = 67,957.14 × 28,024.74
  4. Step 4: Simplify right side
    49,238.64x = 1,904,481,179.64
  5. Step 5: Solve for x
    x = 1,904,481,179.64/49,238.64
  6. Step 6: Final answer
    x = 38,678.59

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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.