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Finding the Fourth Proportional to 52,099.67, 71,897.60 and 28,226.14

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Solution

The fourth proportional to 52,099.67, 71,897.60 and 28,226.14 is: 38,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099.67 : 71,897.60 = 28,226.14 : x
  2. Step 2: Convert to fraction form
    52,099.67/71,897.60 = 28,226.14/x
  3. Step 3: Cross multiply
    52,099.67x = 71,897.60 × 28,226.14
  4. Step 4: Simplify right side
    52,099.67x = 2,029,391,723.26
  5. Step 5: Solve for x
    x = 2,029,391,723.26/52,099.67
  6. Step 6: Final answer
    x = 38,952.10

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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.