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Finding the Fourth Proportional to 37,065.44, 55,616.88 and 18,596

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Solution

The fourth proportional to 37,065.44, 55,616.88 and 18,596 is: 27,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,065.44 : 55,616.88 = 18,596 : x
  2. Step 2: Convert to fraction form
    37,065.44/55,616.88 = 18,596/x
  3. Step 3: Cross multiply
    37,065.44x = 55,616.88 × 18,596
  4. Step 4: Simplify right side
    37,065.44x = 1,034,251,500.48
  5. Step 5: Solve for x
    x = 1,034,251,500.48/37,065.44
  6. Step 6: Final answer
    x = 27,903.39

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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.