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Finding the Fourth Proportional to 52,072.61, 71,860.10 and 28,199.21

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Solution

The fourth proportional to 52,072.61, 71,860.10 and 28,199.21 is: 38,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072.61 : 71,860.10 = 28,199.21 : x
  2. Step 2: Convert to fraction form
    52,072.61/71,860.10 = 28,199.21/x
  3. Step 3: Cross multiply
    52,072.61x = 71,860.10 × 28,199.21
  4. Step 4: Simplify right side
    52,072.61x = 2,026,398,050.52
  5. Step 5: Solve for x
    x = 2,026,398,050.52/52,072.61
  6. Step 6: Final answer
    x = 38,914.85

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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.