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Finding the Fourth Proportional to 52,004.42, 71,766.15 and 28,131.02

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Solution

The fourth proportional to 52,004.42, 71,766.15 and 28,131.02 is: 38,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004.42 : 71,766.15 = 28,131.02 : x
  2. Step 2: Convert to fraction form
    52,004.42/71,766.15 = 28,131.02/x
  3. Step 3: Cross multiply
    52,004.42x = 71,766.15 × 28,131.02
  4. Step 4: Simplify right side
    52,004.42x = 2,018,855,000.97
  5. Step 5: Solve for x
    x = 2,018,855,000.97/52,004.42
  6. Step 6: Final answer
    x = 38,820.83

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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.