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Finding the Fourth Proportional to 109,679.16, 164,531.22 and 53,479.08

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Solution

The fourth proportional to 109,679.16, 164,531.22 and 53,479.08 is: 80,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,679.16 : 164,531.22 = 53,479.08 : x
  2. Step 2: Convert to fraction form
    109,679.16/164,531.22 = 53,479.08/x
  3. Step 3: Cross multiply
    109,679.16x = 164,531.22 × 53,479.08
  4. Step 4: Simplify right side
    109,679.16x = 8,798,978,276.88
  5. Step 5: Solve for x
    x = 8,798,978,276.88/109,679.16
  6. Step 6: Final answer
    x = 80,224.71

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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.