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Finding the Fourth Proportional to 105,729, 158,593.50 and 31,857

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Solution

The fourth proportional to 105,729, 158,593.50 and 31,857 is: 47,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,729 : 158,593.50 = 31,857 : x
  2. Step 2: Convert to fraction form
    105,729/158,593.50 = 31,857/x
  3. Step 3: Cross multiply
    105,729x = 158,593.50 × 31,857
  4. Step 4: Simplify right side
    105,729x = 5,052,313,129.50
  5. Step 5: Solve for x
    x = 5,052,313,129.50/105,729
  6. Step 6: Final answer
    x = 47,785.50

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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.