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Finding the Fourth Proportional to 65,932.88, 98,853.24 and 32,612.24

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Solution

The fourth proportional to 65,932.88, 98,853.24 and 32,612.24 is: 48,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,932.88 : 98,853.24 = 32,612.24 : x
  2. Step 2: Convert to fraction form
    65,932.88/98,853.24 = 32,612.24/x
  3. Step 3: Cross multiply
    65,932.88x = 98,853.24 × 32,612.24
  4. Step 4: Simplify right side
    65,932.88x = 3,223,825,587.66
  5. Step 5: Solve for x
    x = 3,223,825,587.66/65,932.88
  6. Step 6: Final answer
    x = 48,895.57

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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.