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Finding the Fourth Proportional to 83,444.84, 115,133.94 and 49,447.48

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Solution

The fourth proportional to 83,444.84, 115,133.94 and 49,447.48 is: 68,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,444.84 : 115,133.94 = 49,447.48 : x
  2. Step 2: Convert to fraction form
    83,444.84/115,133.94 = 49,447.48/x
  3. Step 3: Cross multiply
    83,444.84x = 115,133.94 × 49,447.48
  4. Step 4: Simplify right side
    83,444.84x = 5,693,083,195.47
  5. Step 5: Solve for x
    x = 5,693,083,195.47/83,444.84
  6. Step 6: Final answer
    x = 68,225.71

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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.