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Finding the Fourth Proportional to 83,569.14, 115,327.23 and 45,843.39

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Solution

The fourth proportional to 83,569.14, 115,327.23 and 45,843.39 is: 63,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,569.14 : 115,327.23 = 45,843.39 : x
  2. Step 2: Convert to fraction form
    83,569.14/115,327.23 = 45,843.39/x
  3. Step 3: Cross multiply
    83,569.14x = 115,327.23 × 45,843.39
  4. Step 4: Simplify right side
    83,569.14x = 5,286,991,182.51
  5. Step 5: Solve for x
    x = 5,286,991,182.51/83,569.14
  6. Step 6: Final answer
    x = 63,264.87

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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.