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Finding the Fourth Proportional to 39,731.88, 54,830.82 and 21,828

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Solution

The fourth proportional to 39,731.88, 54,830.82 and 21,828 is: 30,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,731.88 : 54,830.82 = 21,828 : x
  2. Step 2: Convert to fraction form
    39,731.88/54,830.82 = 21,828/x
  3. Step 3: Cross multiply
    39,731.88x = 54,830.82 × 21,828
  4. Step 4: Simplify right side
    39,731.88x = 1,196,847,138.96
  5. Step 5: Solve for x
    x = 1,196,847,138.96/39,731.88
  6. Step 6: Final answer
    x = 30,123.09

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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.