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Finding the Fourth Proportional to 59,733, 89,599.50 and 18,180

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Solution

The fourth proportional to 59,733, 89,599.50 and 18,180 is: 27,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,733 : 89,599.50 = 18,180 : x
  2. Step 2: Convert to fraction form
    59,733/89,599.50 = 18,180/x
  3. Step 3: Cross multiply
    59,733x = 89,599.50 × 18,180
  4. Step 4: Simplify right side
    59,733x = 1,628,918,910
  5. Step 5: Solve for x
    x = 1,628,918,910/59,733
  6. Step 6: Final answer
    x = 27,270

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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.