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Finding the Fourth Proportional to 115,921.50, 173,882.26 and 32,815.50

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Solution

The fourth proportional to 115,921.50, 173,882.26 and 32,815.50 is: 49,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,921.50 : 173,882.26 = 32,815.50 : x
  2. Step 2: Convert to fraction form
    115,921.50/173,882.26 = 32,815.50/x
  3. Step 3: Cross multiply
    115,921.50x = 173,882.26 × 32,815.50
  4. Step 4: Simplify right side
    115,921.50x = 5,706,033,303.03
  5. Step 5: Solve for x
    x = 5,706,033,303.03/115,921.50
  6. Step 6: Final answer
    x = 49,223.25

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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.