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Finding the Fourth Proportional to 83,596.67, 125,396.93 and 20,417.32

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Solution

The fourth proportional to 83,596.67, 125,396.93 and 20,417.32 is: 30,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.67 : 125,396.93 = 20,417.32 : x
  2. Step 2: Convert to fraction form
    83,596.67/125,396.93 = 20,417.32/x
  3. Step 3: Cross multiply
    83,596.67x = 125,396.93 × 20,417.32
  4. Step 4: Simplify right side
    83,596.67x = 2,560,268,749.26
  5. Step 5: Solve for x
    x = 2,560,268,749.26/83,596.67
  6. Step 6: Final answer
    x = 30,626.44

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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.