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Finding the Fourth Proportional to 45,059, 67,588.62 and 12,227

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Solution

The fourth proportional to 45,059, 67,588.62 and 12,227 is: 18,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,059 : 67,588.62 = 12,227 : x
  2. Step 2: Convert to fraction form
    45,059/67,588.62 = 12,227/x
  3. Step 3: Cross multiply
    45,059x = 67,588.62 × 12,227
  4. Step 4: Simplify right side
    45,059x = 826,406,056.74
  5. Step 5: Solve for x
    x = 826,406,056.74/45,059
  6. Step 6: Final answer
    x = 18,340.53

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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.