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Finding the Fourth Proportional to 57,994.75, 87,003.06 and 26,830

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Solution

The fourth proportional to 57,994.75, 87,003.06 and 26,830 is: 40,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,994.75 : 87,003.06 = 26,830 : x
  2. Step 2: Convert to fraction form
    57,994.75/87,003.06 = 26,830/x
  3. Step 3: Cross multiply
    57,994.75x = 87,003.06 × 26,830
  4. Step 4: Simplify right side
    57,994.75x = 2,334,292,099.80
  5. Step 5: Solve for x
    x = 2,334,292,099.80/57,994.75
  6. Step 6: Final answer
    x = 40,250.06

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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.