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Finding the Fourth Proportional to 65,993.97, 98,966.81 and 23,863.95

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Solution

The fourth proportional to 65,993.97, 98,966.81 and 23,863.95 is: 35,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,993.97 : 98,966.81 = 23,863.95 : x
  2. Step 2: Convert to fraction form
    65,993.97/98,966.81 = 23,863.95/x
  3. Step 3: Cross multiply
    65,993.97x = 98,966.81 × 23,863.95
  4. Step 4: Simplify right side
    65,993.97x = 2,361,739,065.16
  5. Step 5: Solve for x
    x = 2,361,739,065.16/65,993.97
  6. Step 6: Final answer
    x = 35,787.19

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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.