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Finding the Fourth Proportional to 59,828, 82,563 and 34,335.44

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Solution

The fourth proportional to 59,828, 82,563 and 34,335.44 is: 47,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,828 : 82,563 = 34,335.44 : x
  2. Step 2: Convert to fraction form
    59,828/82,563 = 34,335.44/x
  3. Step 3: Cross multiply
    59,828x = 82,563 × 34,335.44
  4. Step 4: Simplify right side
    59,828x = 2,834,836,932.72
  5. Step 5: Solve for x
    x = 2,834,836,932.72/59,828
  6. Step 6: Final answer
    x = 47,383.11

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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.