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Finding the Fourth Proportional to 65,713.64, 98,640.60 and 28,292.24

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Solution

The fourth proportional to 65,713.64, 98,640.60 and 28,292.24 is: 42,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.64 : 98,640.60 = 28,292.24 : x
  2. Step 2: Convert to fraction form
    65,713.64/98,640.60 = 28,292.24/x
  3. Step 3: Cross multiply
    65,713.64x = 98,640.60 × 28,292.24
  4. Step 4: Simplify right side
    65,713.64x = 2,790,763,528.94
  5. Step 5: Solve for x
    x = 2,790,763,528.94/65,713.64
  6. Step 6: Final answer
    x = 42,468.56

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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.