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Finding the Fourth Proportional to 37,194.95, 55,791.28 and 9,115.08

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Solution

The fourth proportional to 37,194.95, 55,791.28 and 9,115.08 is: 13,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194.95 : 55,791.28 = 9,115.08 : x
  2. Step 2: Convert to fraction form
    37,194.95/55,791.28 = 9,115.08/x
  3. Step 3: Cross multiply
    37,194.95x = 55,791.28 × 9,115.08
  4. Step 4: Simplify right side
    37,194.95x = 508,542,096.50
  5. Step 5: Solve for x
    x = 508,542,096.50/37,194.95
  6. Step 6: Final answer
    x = 13,672.34

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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.