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Finding the Fourth Proportional to 62,504.16, 86,255.74 and 34,209.84

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Solution

The fourth proportional to 62,504.16, 86,255.74 and 34,209.84 is: 47,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,504.16 : 86,255.74 = 34,209.84 : x
  2. Step 2: Convert to fraction form
    62,504.16/86,255.74 = 34,209.84/x
  3. Step 3: Cross multiply
    62,504.16x = 86,255.74 × 34,209.84
  4. Step 4: Simplify right side
    62,504.16x = 2,950,795,238.27
  5. Step 5: Solve for x
    x = 2,950,795,238.27/62,504.16
  6. Step 6: Final answer
    x = 47,209.58

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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.