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Finding the Fourth Proportional to 37,657.96, 51,939.14 and 27,582.78

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Solution

The fourth proportional to 37,657.96, 51,939.14 and 27,582.78 is: 38,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.96 : 51,939.14 = 27,582.78 : x
  2. Step 2: Convert to fraction form
    37,657.96/51,939.14 = 27,582.78/x
  3. Step 3: Cross multiply
    37,657.96x = 51,939.14 × 27,582.78
  4. Step 4: Simplify right side
    37,657.96x = 1,432,625,872.01
  5. Step 5: Solve for x
    x = 1,432,625,872.01/37,657.96
  6. Step 6: Final answer
    x = 38,043.11

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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.