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Finding the Fourth Proportional to 70,994.16, 106,509.60 and 24,247.44

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Solution

The fourth proportional to 70,994.16, 106,509.60 and 24,247.44 is: 36,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,994.16 : 106,509.60 = 24,247.44 : x
  2. Step 2: Convert to fraction form
    70,994.16/106,509.60 = 24,247.44/x
  3. Step 3: Cross multiply
    70,994.16x = 106,509.60 × 24,247.44
  4. Step 4: Simplify right side
    70,994.16x = 2,582,585,135.42
  5. Step 5: Solve for x
    x = 2,582,585,135.42/70,994.16
  6. Step 6: Final answer
    x = 36,377.43

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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.