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Finding the Fourth Proportional to 34,648.88, 47,822.87 and 21,893.97

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Solution

The fourth proportional to 34,648.88, 47,822.87 and 21,893.97 is: 30,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,648.88 : 47,822.87 = 21,893.97 : x
  2. Step 2: Convert to fraction form
    34,648.88/47,822.87 = 21,893.97/x
  3. Step 3: Cross multiply
    34,648.88x = 47,822.87 × 21,893.97
  4. Step 4: Simplify right side
    34,648.88x = 1,047,032,296.71
  5. Step 5: Solve for x
    x = 1,047,032,296.71/34,648.88
  6. Step 6: Final answer
    x = 30,218.36

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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.