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Finding the Fourth Proportional to 62,834.16, 86,707.92 and 34,539.24

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Solution

The fourth proportional to 62,834.16, 86,707.92 and 34,539.24 is: 47,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,834.16 : 86,707.92 = 34,539.24 : x
  2. Step 2: Convert to fraction form
    62,834.16/86,707.92 = 34,539.24/x
  3. Step 3: Cross multiply
    62,834.16x = 86,707.92 × 34,539.24
  4. Step 4: Simplify right side
    62,834.16x = 2,994,825,658.78
  5. Step 5: Solve for x
    x = 2,994,825,658.78/62,834.16
  6. Step 6: Final answer
    x = 47,662.38

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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.