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Finding the Fourth Proportional to 83,434, 115,138.92 and 49,900

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Solution

The fourth proportional to 83,434, 115,138.92 and 49,900 is: 68,862

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,434 : 115,138.92 = 49,900 : x
  2. Step 2: Convert to fraction form
    83,434/115,138.92 = 49,900/x
  3. Step 3: Cross multiply
    83,434x = 115,138.92 × 49,900
  4. Step 4: Simplify right side
    83,434x = 5,745,432,108
  5. Step 5: Solve for x
    x = 5,745,432,108/83,434
  6. Step 6: Final answer
    x = 68,862

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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.