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Finding the Fourth Proportional to 51,085.38, 70,498.92 and 28,425.20

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Solution

The fourth proportional to 51,085.38, 70,498.92 and 28,425.20 is: 39,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,085.38 : 70,498.92 = 28,425.20 : x
  2. Step 2: Convert to fraction form
    51,085.38/70,498.92 = 28,425.20/x
  3. Step 3: Cross multiply
    51,085.38x = 70,498.92 × 28,425.20
  4. Step 4: Simplify right side
    51,085.38x = 2,003,945,900.78
  5. Step 5: Solve for x
    x = 2,003,945,900.78/51,085.38
  6. Step 6: Final answer
    x = 39,227.39

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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.