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Finding the Fourth Proportional to 55,616.86, 76,765 and 31,757.38

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Solution

The fourth proportional to 55,616.86, 76,765 and 31,757.38 is: 43,833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,616.86 : 76,765 = 31,757.38 : x
  2. Step 2: Convert to fraction form
    55,616.86/76,765 = 31,757.38/x
  3. Step 3: Cross multiply
    55,616.86x = 76,765 × 31,757.38
  4. Step 4: Simplify right side
    55,616.86x = 2,437,855,275.70
  5. Step 5: Solve for x
    x = 2,437,855,275.70/55,616.86
  6. Step 6: Final answer
    x = 43,833.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.