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Finding the Fourth Proportional to 83,109, 114,691.02 and 45,383.25

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Solution

The fourth proportional to 83,109, 114,691.02 and 45,383.25 is: 62,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109 : 114,691.02 = 45,383.25 : x
  2. Step 2: Convert to fraction form
    83,109/114,691.02 = 45,383.25/x
  3. Step 3: Cross multiply
    83,109x = 114,691.02 × 45,383.25
  4. Step 4: Simplify right side
    83,109x = 5,205,051,233.42
  5. Step 5: Solve for x
    x = 5,205,051,233.42/83,109
  6. Step 6: Final answer
    x = 62,629.21

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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.