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Finding the Fourth Proportional to 109,614.80, 164,422.20 and 39,468.80

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Solution

The fourth proportional to 109,614.80, 164,422.20 and 39,468.80 is: 59,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,614.80 : 164,422.20 = 39,468.80 : x
  2. Step 2: Convert to fraction form
    109,614.80/164,422.20 = 39,468.80/x
  3. Step 3: Cross multiply
    109,614.80x = 164,422.20 × 39,468.80
  4. Step 4: Simplify right side
    109,614.80x = 6,489,546,927.36
  5. Step 5: Solve for x
    x = 6,489,546,927.36/109,614.80
  6. Step 6: Final answer
    x = 59,203.20

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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.