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Finding the Fourth Proportional to 39,609, 54,661.50 and 22,843.08

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Solution

The fourth proportional to 39,609, 54,661.50 and 22,843.08 is: 31,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,609 : 54,661.50 = 22,843.08 : x
  2. Step 2: Convert to fraction form
    39,609/54,661.50 = 22,843.08/x
  3. Step 3: Cross multiply
    39,609x = 54,661.50 × 22,843.08
  4. Step 4: Simplify right side
    39,609x = 1,248,637,017.42
  5. Step 5: Solve for x
    x = 1,248,637,017.42/39,609
  6. Step 6: Final answer
    x = 31,524.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.