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Finding the Fourth Proportional to 38,901, 53,680.17 and 21,899.82

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Solution

The fourth proportional to 38,901, 53,680.17 and 21,899.82 is: 30,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901 : 53,680.17 = 21,899.82 : x
  2. Step 2: Convert to fraction form
    38,901/53,680.17 = 21,899.82/x
  3. Step 3: Cross multiply
    38,901x = 53,680.17 × 21,899.82
  4. Step 4: Simplify right side
    38,901x = 1,175,586,060.57
  5. Step 5: Solve for x
    x = 1,175,586,060.57/38,901
  6. Step 6: Final answer
    x = 30,219.94

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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.