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Finding the Fourth Proportional to 83,957.63, 125,933.85 and 34,024.32

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Solution

The fourth proportional to 83,957.63, 125,933.85 and 34,024.32 is: 51,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.63 : 125,933.85 = 34,024.32 : x
  2. Step 2: Convert to fraction form
    83,957.63/125,933.85 = 34,024.32/x
  3. Step 3: Cross multiply
    83,957.63x = 125,933.85 × 34,024.32
  4. Step 4: Simplify right side
    83,957.63x = 4,284,813,611.23
  5. Step 5: Solve for x
    x = 4,284,813,611.23/83,957.63
  6. Step 6: Final answer
    x = 51,035.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.