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Finding the Fourth Proportional to 38,671.36, 53,365.44 and 21,909.76

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Solution

The fourth proportional to 38,671.36, 53,365.44 and 21,909.76 is: 30,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,671.36 : 53,365.44 = 21,909.76 : x
  2. Step 2: Convert to fraction form
    38,671.36/53,365.44 = 21,909.76/x
  3. Step 3: Cross multiply
    38,671.36x = 53,365.44 × 21,909.76
  4. Step 4: Simplify right side
    38,671.36x = 1,169,223,982.69
  5. Step 5: Solve for x
    x = 1,169,223,982.69/38,671.36
  6. Step 6: Final answer
    x = 30,234.88

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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.