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Finding the Fourth Proportional to 83,242.89, 114,860.23 and 49,234.43

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Solution

The fourth proportional to 83,242.89, 114,860.23 and 49,234.43 is: 67,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242.89 : 114,860.23 = 49,234.43 : x
  2. Step 2: Convert to fraction form
    83,242.89/114,860.23 = 49,234.43/x
  3. Step 3: Cross multiply
    83,242.89x = 114,860.23 × 49,234.43
  4. Step 4: Simplify right side
    83,242.89x = 5,655,078,117.78
  5. Step 5: Solve for x
    x = 5,655,078,117.78/83,242.89
  6. Step 6: Final answer
    x = 67,934.67

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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.