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Finding the Fourth Proportional to 62,414, 86,131.32 and 34,119.89

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Solution

The fourth proportional to 62,414, 86,131.32 and 34,119.89 is: 47,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,414 : 86,131.32 = 34,119.89 : x
  2. Step 2: Convert to fraction form
    62,414/86,131.32 = 34,119.89/x
  3. Step 3: Cross multiply
    62,414x = 86,131.32 × 34,119.89
  4. Step 4: Simplify right side
    62,414x = 2,938,791,163.95
  5. Step 5: Solve for x
    x = 2,938,791,163.95/62,414
  6. Step 6: Final answer
    x = 47,085.45

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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.