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Finding the Fourth Proportional to 37,048.38, 51,126.76 and 20,281.38

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Solution

The fourth proportional to 37,048.38, 51,126.76 and 20,281.38 is: 27,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,048.38 : 51,126.76 = 20,281.38 : x
  2. Step 2: Convert to fraction form
    37,048.38/51,126.76 = 20,281.38/x
  3. Step 3: Cross multiply
    37,048.38x = 51,126.76 × 20,281.38
  4. Step 4: Simplify right side
    37,048.38x = 1,036,921,247.73
  5. Step 5: Solve for x
    x = 1,036,921,247.73/37,048.38
  6. Step 6: Final answer
    x = 27,988.30

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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.