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Finding the Fourth Proportional to 83,076.35, 114,645.71 and 45,351.41

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Solution

The fourth proportional to 83,076.35, 114,645.71 and 45,351.41 is: 62,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.35 : 114,645.71 = 45,351.41 : x
  2. Step 2: Convert to fraction form
    83,076.35/114,645.71 = 45,351.41/x
  3. Step 3: Cross multiply
    83,076.35x = 114,645.71 × 45,351.41
  4. Step 4: Simplify right side
    83,076.35x = 5,199,344,139.10
  5. Step 5: Solve for x
    x = 5,199,344,139.10/83,076.35
  6. Step 6: Final answer
    x = 62,585.13

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