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Finding the Fourth Proportional to 83,667, 115,461.27 and 45,942.06

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Solution

The fourth proportional to 83,667, 115,461.27 and 45,942.06 is: 63,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,667 : 115,461.27 = 45,942.06 : x
  2. Step 2: Convert to fraction form
    83,667/115,461.27 = 45,942.06/x
  3. Step 3: Cross multiply
    83,667x = 115,461.27 × 45,942.06
  4. Step 4: Simplify right side
    83,667x = 5,304,528,594.02
  5. Step 5: Solve for x
    x = 5,304,528,594.02/83,667
  6. Step 6: Final answer
    x = 63,400.49

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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.