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Finding the Fourth Proportional to 59,858, 89,799.96 and 22,922

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Solution

The fourth proportional to 59,858, 89,799.96 and 22,922 is: 34,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,858 : 89,799.96 = 22,922 : x
  2. Step 2: Convert to fraction form
    59,858/89,799.96 = 22,922/x
  3. Step 3: Cross multiply
    59,858x = 89,799.96 × 22,922
  4. Step 4: Simplify right side
    59,858x = 2,058,394,683.12
  5. Step 5: Solve for x
    x = 2,058,394,683.12/59,858
  6. Step 6: Final answer
    x = 34,387.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.