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Finding the Fourth Proportional to 65,914.67, 98,856.32 and 28,454.25

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Solution

The fourth proportional to 65,914.67, 98,856.32 and 28,454.25 is: 42,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,914.67 : 98,856.32 = 28,454.25 : x
  2. Step 2: Convert to fraction form
    65,914.67/98,856.32 = 28,454.25/x
  3. Step 3: Cross multiply
    65,914.67x = 98,856.32 × 28,454.25
  4. Step 4: Simplify right side
    65,914.67x = 2,812,882,077.78
  5. Step 5: Solve for x
    x = 2,812,882,077.78/65,914.67
  6. Step 6: Final answer
    x = 42,674.60

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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.