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Finding the Fourth Proportional to 105,391.56, 158,087.34 and 43,062

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Solution

The fourth proportional to 105,391.56, 158,087.34 and 43,062 is: 64,593

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,391.56 : 158,087.34 = 43,062 : x
  2. Step 2: Convert to fraction form
    105,391.56/158,087.34 = 43,062/x
  3. Step 3: Cross multiply
    105,391.56x = 158,087.34 × 43,062
  4. Step 4: Simplify right side
    105,391.56x = 6,807,557,035.08
  5. Step 5: Solve for x
    x = 6,807,557,035.08/105,391.56
  6. Step 6: Final answer
    x = 64,593

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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.