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Finding the Fourth Proportional to 38,932, 53,726.24 and 22,165

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Solution

The fourth proportional to 38,932, 53,726.24 and 22,165 is: 30,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,932 : 53,726.24 = 22,165 : x
  2. Step 2: Convert to fraction form
    38,932/53,726.24 = 22,165/x
  3. Step 3: Cross multiply
    38,932x = 53,726.24 × 22,165
  4. Step 4: Simplify right side
    38,932x = 1,190,842,109.60
  5. Step 5: Solve for x
    x = 1,190,842,109.60/38,932
  6. Step 6: Final answer
    x = 30,587.75

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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.