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Finding the Fourth Proportional to 83,229.96, 114,848.34 and 49,239.72

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Solution

The fourth proportional to 83,229.96, 114,848.34 and 49,239.72 is: 67,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.96 : 114,848.34 = 49,239.72 : x
  2. Step 2: Convert to fraction form
    83,229.96/114,848.34 = 49,239.72/x
  3. Step 3: Cross multiply
    83,229.96x = 114,848.34 × 49,239.72
  4. Step 4: Simplify right side
    83,229.96x = 5,655,100,104.06
  5. Step 5: Solve for x
    x = 5,655,100,104.06/83,229.96
  6. Step 6: Final answer
    x = 67,945.49

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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.