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Finding the Fourth Proportional to 52,099.74, 71,897.49 and 28,226.97

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Solution

The fourth proportional to 52,099.74, 71,897.49 and 28,226.97 is: 38,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099.74 : 71,897.49 = 28,226.97 : x
  2. Step 2: Convert to fraction form
    52,099.74/71,897.49 = 28,226.97/x
  3. Step 3: Cross multiply
    52,099.74x = 71,897.49 × 28,226.97
  4. Step 4: Simplify right side
    52,099.74x = 2,029,448,293.31
  5. Step 5: Solve for x
    x = 2,029,448,293.31/52,099.74
  6. Step 6: Final answer
    x = 38,953.14

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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.