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Finding the Fourth Proportional to 37,077.71, 55,616.11 and 8,998

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Solution

The fourth proportional to 37,077.71, 55,616.11 and 8,998 is: 13,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077.71 : 55,616.11 = 8,998 : x
  2. Step 2: Convert to fraction form
    37,077.71/55,616.11 = 8,998/x
  3. Step 3: Cross multiply
    37,077.71x = 55,616.11 × 8,998
  4. Step 4: Simplify right side
    37,077.71x = 500,433,712.79
  5. Step 5: Solve for x
    x = 500,433,712.79/37,077.71
  6. Step 6: Final answer
    x = 13,496.89

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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.