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Finding the Fourth Proportional to 38,972.80, 53,781.73 and 21,976.77

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Solution

The fourth proportional to 38,972.80, 53,781.73 and 21,976.77 is: 30,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972.80 : 53,781.73 = 21,976.77 : x
  2. Step 2: Convert to fraction form
    38,972.80/53,781.73 = 21,976.77/x
  3. Step 3: Cross multiply
    38,972.80x = 53,781.73 × 21,976.77
  4. Step 4: Simplify right side
    38,972.80x = 1,181,948,710.41
  5. Step 5: Solve for x
    x = 1,181,948,710.41/38,972.80
  6. Step 6: Final answer
    x = 30,327.53

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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.