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Finding the Fourth Proportional to 105,887.64, 158,850.95 and 34,814.30

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Solution

The fourth proportional to 105,887.64, 158,850.95 and 34,814.30 is: 52,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,887.64 : 158,850.95 = 34,814.30 : x
  2. Step 2: Convert to fraction form
    105,887.64/158,850.95 = 34,814.30/x
  3. Step 3: Cross multiply
    105,887.64x = 158,850.95 × 34,814.30
  4. Step 4: Simplify right side
    105,887.64x = 5,530,283,660.26
  5. Step 5: Solve for x
    x = 5,530,283,660.26/105,887.64
  6. Step 6: Final answer
    x = 52,227.85

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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.