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Finding the Fourth Proportional to 62,378.50, 86,084.22 and 34,086.01

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Solution

The fourth proportional to 62,378.50, 86,084.22 and 34,086.01 is: 47,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,378.50 : 86,084.22 = 34,086.01 : x
  2. Step 2: Convert to fraction form
    62,378.50/86,084.22 = 34,086.01/x
  3. Step 3: Cross multiply
    62,378.50x = 86,084.22 × 34,086.01
  4. Step 4: Simplify right side
    62,378.50x = 2,934,267,583.76
  5. Step 5: Solve for x
    x = 2,934,267,583.76/62,378.50
  6. Step 6: Final answer
    x = 47,039.73

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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.