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Finding the Fourth Proportional to 65,584.16, 98,382.48 and 26,132.32

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Solution

The fourth proportional to 65,584.16, 98,382.48 and 26,132.32 is: 39,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,584.16 : 98,382.48 = 26,132.32 : x
  2. Step 2: Convert to fraction form
    65,584.16/98,382.48 = 26,132.32/x
  3. Step 3: Cross multiply
    65,584.16x = 98,382.48 × 26,132.32
  4. Step 4: Simplify right side
    65,584.16x = 2,570,962,449.75
  5. Step 5: Solve for x
    x = 2,570,962,449.75/65,584.16
  6. Step 6: Final answer
    x = 39,200.97

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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.