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Finding the Fourth Proportional to 70,983.57, 106,452.32 and 23,585.94

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Solution

The fourth proportional to 70,983.57, 106,452.32 and 23,585.94 is: 35,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.57 : 106,452.32 = 23,585.94 : x
  2. Step 2: Convert to fraction form
    70,983.57/106,452.32 = 23,585.94/x
  3. Step 3: Cross multiply
    70,983.57x = 106,452.32 × 23,585.94
  4. Step 4: Simplify right side
    70,983.57x = 2,510,777,692.15
  5. Step 5: Solve for x
    x = 2,510,777,692.15/70,983.57
  6. Step 6: Final answer
    x = 35,371.25

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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.