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Finding the Fourth Proportional to 37,153.76, 55,729.92 and 9,074

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Solution

The fourth proportional to 37,153.76, 55,729.92 and 9,074 is: 13,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,153.76 : 55,729.92 = 9,074 : x
  2. Step 2: Convert to fraction form
    37,153.76/55,729.92 = 9,074/x
  3. Step 3: Cross multiply
    37,153.76x = 55,729.92 × 9,074
  4. Step 4: Simplify right side
    37,153.76x = 505,693,294.08
  5. Step 5: Solve for x
    x = 505,693,294.08/37,153.76
  6. Step 6: Final answer
    x = 13,610.82

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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.