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Finding the Fourth Proportional to 65,947.29, 98,920.68 and 16,027.54

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Solution

The fourth proportional to 65,947.29, 98,920.68 and 16,027.54 is: 24,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,947.29 : 98,920.68 = 16,027.54 : x
  2. Step 2: Convert to fraction form
    65,947.29/98,920.68 = 16,027.54/x
  3. Step 3: Cross multiply
    65,947.29x = 98,920.68 × 16,027.54
  4. Step 4: Simplify right side
    65,947.29x = 1,585,454,580.79
  5. Step 5: Solve for x
    x = 1,585,454,580.79/65,947.29
  6. Step 6: Final answer
    x = 24,041.24

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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.