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Finding the Fourth Proportional to 59,516, 89,286.96 and 22,580

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Solution

The fourth proportional to 59,516, 89,286.96 and 22,580 is: 33,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,516 : 89,286.96 = 22,580 : x
  2. Step 2: Convert to fraction form
    59,516/89,286.96 = 22,580/x
  3. Step 3: Cross multiply
    59,516x = 89,286.96 × 22,580
  4. Step 4: Simplify right side
    59,516x = 2,016,099,556.80
  5. Step 5: Solve for x
    x = 2,016,099,556.80/59,516
  6. Step 6: Final answer
    x = 33,874.92

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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.