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Finding the Fourth Proportional to 115,922.50, 173,898.60 and 32,816.50

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Solution

The fourth proportional to 115,922.50, 173,898.60 and 32,816.50 is: 49,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,922.50 : 173,898.60 = 32,816.50 : x
  2. Step 2: Convert to fraction form
    115,922.50/173,898.60 = 32,816.50/x
  3. Step 3: Cross multiply
    115,922.50x = 173,898.60 × 32,816.50
  4. Step 4: Simplify right side
    115,922.50x = 5,706,743,406.90
  5. Step 5: Solve for x
    x = 5,706,743,406.90/115,922.50
  6. Step 6: Final answer
    x = 49,228.95

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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.