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Finding the Fourth Proportional to 39,424, 54,407.34 and 22,658.08

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Solution

The fourth proportional to 39,424, 54,407.34 and 22,658.08 is: 31,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,424 : 54,407.34 = 22,658.08 : x
  2. Step 2: Convert to fraction form
    39,424/54,407.34 = 22,658.08/x
  3. Step 3: Cross multiply
    39,424x = 54,407.34 × 22,658.08
  4. Step 4: Simplify right side
    39,424x = 1,232,765,862.31
  5. Step 5: Solve for x
    x = 1,232,765,862.31/39,424
  6. Step 6: Final answer
    x = 31,269.43

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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.