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Finding the Fourth Proportional to 59,500, 89,250 and 22,564

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Solution

The fourth proportional to 59,500, 89,250 and 22,564 is: 33,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,500 : 89,250 = 22,564 : x
  2. Step 2: Convert to fraction form
    59,500/89,250 = 22,564/x
  3. Step 3: Cross multiply
    59,500x = 89,250 × 22,564
  4. Step 4: Simplify right side
    59,500x = 2,013,837,000
  5. Step 5: Solve for x
    x = 2,013,837,000/59,500
  6. Step 6: Final answer
    x = 33,846

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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.