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Finding the Fourth Proportional to 105,937.74, 158,906.43 and 27,052.02

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Solution

The fourth proportional to 105,937.74, 158,906.43 and 27,052.02 is: 40,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,937.74 : 158,906.43 = 27,052.02 : x
  2. Step 2: Convert to fraction form
    105,937.74/158,906.43 = 27,052.02/x
  3. Step 3: Cross multiply
    105,937.74x = 158,906.43 × 27,052.02
  4. Step 4: Simplify right side
    105,937.74x = 4,298,739,922.49
  5. Step 5: Solve for x
    x = 4,298,739,922.49/105,937.74
  6. Step 6: Final answer
    x = 40,577.98

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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.