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Finding the Fourth Proportional to 73,822.40, 110,715.60 and 21,226.40

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Solution

The fourth proportional to 73,822.40, 110,715.60 and 21,226.40 is: 31,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822.40 : 110,715.60 = 21,226.40 : x
  2. Step 2: Convert to fraction form
    73,822.40/110,715.60 = 21,226.40/x
  3. Step 3: Cross multiply
    73,822.40x = 110,715.60 × 21,226.40
  4. Step 4: Simplify right side
    73,822.40x = 2,350,093,611.84
  5. Step 5: Solve for x
    x = 2,350,093,611.84/73,822.40
  6. Step 6: Final answer
    x = 31,834.42

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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.