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Finding the Fourth Proportional to 83,301.75, 114,958.85 and 45,578.43

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Solution

The fourth proportional to 83,301.75, 114,958.85 and 45,578.43 is: 62,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,301.75 : 114,958.85 = 45,578.43 : x
  2. Step 2: Convert to fraction form
    83,301.75/114,958.85 = 45,578.43/x
  3. Step 3: Cross multiply
    83,301.75x = 114,958.85 × 45,578.43
  4. Step 4: Simplify right side
    83,301.75x = 5,239,643,669.71
  5. Step 5: Solve for x
    x = 5,239,643,669.71/83,301.75
  6. Step 6: Final answer
    x = 62,899.56

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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.