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Finding the Fourth Proportional to 37,860.38, 52,198.80 and 31,029.26

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Solution

The fourth proportional to 37,860.38, 52,198.80 and 31,029.26 is: 42,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,860.38 : 52,198.80 = 31,029.26 : x
  2. Step 2: Convert to fraction form
    37,860.38/52,198.80 = 31,029.26/x
  3. Step 3: Cross multiply
    37,860.38x = 52,198.80 × 31,029.26
  4. Step 4: Simplify right side
    37,860.38x = 1,619,689,875.89
  5. Step 5: Solve for x
    x = 1,619,689,875.89/37,860.38
  6. Step 6: Final answer
    x = 42,780.61

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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.