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Finding the Fourth Proportional to 53,843.40, 80,736.30 and 22,643.40

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Solution

The fourth proportional to 53,843.40, 80,736.30 and 22,643.40 is: 33,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,843.40 : 80,736.30 = 22,643.40 : x
  2. Step 2: Convert to fraction form
    53,843.40/80,736.30 = 22,643.40/x
  3. Step 3: Cross multiply
    53,843.40x = 80,736.30 × 22,643.40
  4. Step 4: Simplify right side
    53,843.40x = 1,828,144,335.42
  5. Step 5: Solve for x
    x = 1,828,144,335.42/53,843.40
  6. Step 6: Final answer
    x = 33,952.99

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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.