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Finding the Fourth Proportional to 37,134.50, 51,265.52 and 28,680.38

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Solution

The fourth proportional to 37,134.50, 51,265.52 and 28,680.38 is: 39,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,134.50 : 51,265.52 = 28,680.38 : x
  2. Step 2: Convert to fraction form
    37,134.50/51,265.52 = 28,680.38/x
  3. Step 3: Cross multiply
    37,134.50x = 51,265.52 × 28,680.38
  4. Step 4: Simplify right side
    37,134.50x = 1,470,314,194.77
  5. Step 5: Solve for x
    x = 1,470,314,194.77/37,134.50
  6. Step 6: Final answer
    x = 39,594.30

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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.