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Finding the Fourth Proportional to 37,057.42, 51,139.38 and 20,290.42

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Solution

The fourth proportional to 37,057.42, 51,139.38 and 20,290.42 is: 28,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,057.42 : 51,139.38 = 20,290.42 : x
  2. Step 2: Convert to fraction form
    37,057.42/51,139.38 = 20,290.42/x
  3. Step 3: Cross multiply
    37,057.42x = 51,139.38 × 20,290.42
  4. Step 4: Simplify right side
    37,057.42x = 1,037,639,498.74
  5. Step 5: Solve for x
    x = 1,037,639,498.74/37,057.42
  6. Step 6: Final answer
    x = 28,000.86

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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.