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Finding the Fourth Proportional to 52,004.40, 71,766.05 and 28,131.08

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Solution

The fourth proportional to 52,004.40, 71,766.05 and 28,131.08 is: 38,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004.40 : 71,766.05 = 28,131.08 : x
  2. Step 2: Convert to fraction form
    52,004.40/71,766.05 = 28,131.08/x
  3. Step 3: Cross multiply
    52,004.40x = 71,766.05 × 28,131.08
  4. Step 4: Simplify right side
    52,004.40x = 2,018,856,493.83
  5. Step 5: Solve for x
    x = 2,018,856,493.83/52,004.40
  6. Step 6: Final answer
    x = 38,820.88

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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.