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Finding the Fourth Proportional to 83,163.72, 114,765.99 and 44,923.28

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Solution

The fourth proportional to 83,163.72, 114,765.99 and 44,923.28 is: 61,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163.72 : 114,765.99 = 44,923.28 : x
  2. Step 2: Convert to fraction form
    83,163.72/114,765.99 = 44,923.28/x
  3. Step 3: Cross multiply
    83,163.72x = 114,765.99 × 44,923.28
  4. Step 4: Simplify right side
    83,163.72x = 5,155,664,129.42
  5. Step 5: Solve for x
    x = 5,155,664,129.42/83,163.72
  6. Step 6: Final answer
    x = 61,994.15

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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.