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Finding the Fourth Proportional to 37,371.78, 56,057.88 and 9,669.78

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Solution

The fourth proportional to 37,371.78, 56,057.88 and 9,669.78 is: 14,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,371.78 : 56,057.88 = 9,669.78 : x
  2. Step 2: Convert to fraction form
    37,371.78/56,057.88 = 9,669.78/x
  3. Step 3: Cross multiply
    37,371.78x = 56,057.88 × 9,669.78
  4. Step 4: Simplify right side
    37,371.78x = 542,067,388.59
  5. Step 5: Solve for x
    x = 542,067,388.59/37,371.78
  6. Step 6: Final answer
    x = 14,504.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.