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Finding the Fourth Proportional to 83,174.95, 114,781.30 and 47,364.97

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Solution

The fourth proportional to 83,174.95, 114,781.30 and 47,364.97 is: 65,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,174.95 : 114,781.30 = 47,364.97 : x
  2. Step 2: Convert to fraction form
    83,174.95/114,781.30 = 47,364.97/x
  3. Step 3: Cross multiply
    83,174.95x = 114,781.30 × 47,364.97
  4. Step 4: Simplify right side
    83,174.95x = 5,436,612,831.06
  5. Step 5: Solve for x
    x = 5,436,612,831.06/83,174.95
  6. Step 6: Final answer
    x = 65,363.58

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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.