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Finding the Fourth Proportional to 83,989, 125,983.50 and 34,741

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Solution

The fourth proportional to 83,989, 125,983.50 and 34,741 is: 52,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989 : 125,983.50 = 34,741 : x
  2. Step 2: Convert to fraction form
    83,989/125,983.50 = 34,741/x
  3. Step 3: Cross multiply
    83,989x = 125,983.50 × 34,741
  4. Step 4: Simplify right side
    83,989x = 4,376,792,773.50
  5. Step 5: Solve for x
    x = 4,376,792,773.50/83,989
  6. Step 6: Final answer
    x = 52,111.50

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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.