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Finding the Fourth Proportional to 47,058, 70,584.97 and 11,996.61

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Solution

The fourth proportional to 47,058, 70,584.97 and 11,996.61 is: 17,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,058 : 70,584.97 = 11,996.61 : x
  2. Step 2: Convert to fraction form
    47,058/70,584.97 = 11,996.61/x
  3. Step 3: Cross multiply
    47,058x = 70,584.97 × 11,996.61
  4. Step 4: Simplify right side
    47,058x = 846,780,356.95
  5. Step 5: Solve for x
    x = 846,780,356.95/47,058
  6. Step 6: Final answer
    x = 17,994.40

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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.