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Finding the Fourth Proportional to 53,774.25, 80,661.38 and 22,609.50

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Solution

The fourth proportional to 53,774.25, 80,661.38 and 22,609.50 is: 33,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774.25 : 80,661.38 = 22,609.50 : x
  2. Step 2: Convert to fraction form
    53,774.25/80,661.38 = 22,609.50/x
  3. Step 3: Cross multiply
    53,774.25x = 80,661.38 × 22,609.50
  4. Step 4: Simplify right side
    53,774.25x = 1,823,713,358.06
  5. Step 5: Solve for x
    x = 1,823,713,358.06/53,774.25
  6. Step 6: Final answer
    x = 33,914.25

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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.