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Finding the Fourth Proportional to 101,738.50, 152,629.62 and 34,277.24

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Solution

The fourth proportional to 101,738.50, 152,629.62 and 34,277.24 is: 51,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.50 : 152,629.62 = 34,277.24 : x
  2. Step 2: Convert to fraction form
    101,738.50/152,629.62 = 34,277.24/x
  3. Step 3: Cross multiply
    101,738.50x = 152,629.62 × 34,277.24
  4. Step 4: Simplify right side
    101,738.50x = 5,231,721,833.43
  5. Step 5: Solve for x
    x = 5,231,721,833.43/101,738.50
  6. Step 6: Final answer
    x = 51,423.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.