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Finding the Fourth Proportional to 47,059, 70,586.47 and 11,997.61

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Solution

The fourth proportional to 47,059, 70,586.47 and 11,997.61 is: 17,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,059 : 70,586.47 = 11,997.61 : x
  2. Step 2: Convert to fraction form
    47,059/70,586.47 = 11,997.61/x
  3. Step 3: Cross multiply
    47,059x = 70,586.47 × 11,997.61
  4. Step 4: Simplify right side
    47,059x = 846,868,938.34
  5. Step 5: Solve for x
    x = 846,868,938.34/47,059
  6. Step 6: Final answer
    x = 17,995.90

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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.