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Finding the Fourth Proportional to 37,078.24, 55,616.88 and 8,998.50

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Solution

The fourth proportional to 37,078.24, 55,616.88 and 8,998.50 is: 13,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078.24 : 55,616.88 = 8,998.50 : x
  2. Step 2: Convert to fraction form
    37,078.24/55,616.88 = 8,998.50/x
  3. Step 3: Cross multiply
    37,078.24x = 55,616.88 × 8,998.50
  4. Step 4: Simplify right side
    37,078.24x = 500,468,494.68
  5. Step 5: Solve for x
    x = 500,468,494.68/37,078.24
  6. Step 6: Final answer
    x = 13,497.63

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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.