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Finding the Fourth Proportional to 38,677.84, 53,375.36 and 21,910.80

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Solution

The fourth proportional to 38,677.84, 53,375.36 and 21,910.80 is: 30,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,677.84 : 53,375.36 = 21,910.80 : x
  2. Step 2: Convert to fraction form
    38,677.84/53,375.36 = 21,910.80/x
  3. Step 3: Cross multiply
    38,677.84x = 53,375.36 × 21,910.80
  4. Step 4: Simplify right side
    38,677.84x = 1,169,496,837.89
  5. Step 5: Solve for x
    x = 1,169,496,837.89/38,677.84
  6. Step 6: Final answer
    x = 30,236.87

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