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Finding the Fourth Proportional to 37,278.38, 51,444.16 and 20,511.38

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Solution

The fourth proportional to 37,278.38, 51,444.16 and 20,511.38 is: 28,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,278.38 : 51,444.16 = 20,511.38 : x
  2. Step 2: Convert to fraction form
    37,278.38/51,444.16 = 20,511.38/x
  3. Step 3: Cross multiply
    37,278.38x = 51,444.16 × 20,511.38
  4. Step 4: Simplify right side
    37,278.38x = 1,055,190,406.04
  5. Step 5: Solve for x
    x = 1,055,190,406.04/37,278.38
  6. Step 6: Final answer
    x = 28,305.70

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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.