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Finding the Fourth Proportional to 49,239.76, 67,958.04 and 28,024.24

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Solution

The fourth proportional to 49,239.76, 67,958.04 and 28,024.24 is: 38,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,239.76 : 67,958.04 = 28,024.24 : x
  2. Step 2: Convert to fraction form
    49,239.76/67,958.04 = 28,024.24/x
  3. Step 3: Cross multiply
    49,239.76x = 67,958.04 × 28,024.24
  4. Step 4: Simplify right side
    49,239.76x = 1,904,472,422.89
  5. Step 5: Solve for x
    x = 1,904,472,422.89/49,239.76
  6. Step 6: Final answer
    x = 38,677.53

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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.