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Finding the Fourth Proportional to 83,055.33, 114,608.29 and 47,238.21

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Solution

The fourth proportional to 83,055.33, 114,608.29 and 47,238.21 is: 65,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,055.33 : 114,608.29 = 47,238.21 : x
  2. Step 2: Convert to fraction form
    83,055.33/114,608.29 = 47,238.21/x
  3. Step 3: Cross multiply
    83,055.33x = 114,608.29 × 47,238.21
  4. Step 4: Simplify right side
    83,055.33x = 5,413,890,757.28
  5. Step 5: Solve for x
    x = 5,413,890,757.28/83,055.33
  6. Step 6: Final answer
    x = 65,184.14

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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.