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Finding the Fourth Proportional to 51,039.98, 70,424.87 and 29,815.14

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Solution

The fourth proportional to 51,039.98, 70,424.87 and 29,815.14 is: 41,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,039.98 : 70,424.87 = 29,815.14 : x
  2. Step 2: Convert to fraction form
    51,039.98/70,424.87 = 29,815.14/x
  3. Step 3: Cross multiply
    51,039.98x = 70,424.87 × 29,815.14
  4. Step 4: Simplify right side
    51,039.98x = 2,099,727,358.53
  5. Step 5: Solve for x
    x = 2,099,727,358.53/51,039.98
  6. Step 6: Final answer
    x = 41,138.88

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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.