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Finding the Fourth Proportional to 83,628, 115,402.46 and 49,637.96

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Solution

The fourth proportional to 83,628, 115,402.46 and 49,637.96 is: 68,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,628 : 115,402.46 = 49,637.96 : x
  2. Step 2: Convert to fraction form
    83,628/115,402.46 = 49,637.96/x
  3. Step 3: Cross multiply
    83,628x = 115,402.46 × 49,637.96
  4. Step 4: Simplify right side
    83,628x = 5,728,342,693.38
  5. Step 5: Solve for x
    x = 5,728,342,693.38/83,628
  6. Step 6: Final answer
    x = 68,497.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.