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Finding the Fourth Proportional to 70,716.42, 106,103.43 and 45,444.24

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Solution

The fourth proportional to 70,716.42, 106,103.43 and 45,444.24 is: 68,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,716.42 : 106,103.43 = 45,444.24 : x
  2. Step 2: Convert to fraction form
    70,716.42/106,103.43 = 45,444.24/x
  3. Step 3: Cross multiply
    70,716.42x = 106,103.43 × 45,444.24
  4. Step 4: Simplify right side
    70,716.42x = 4,821,789,737.74
  5. Step 5: Solve for x
    x = 4,821,789,737.74/70,716.42
  6. Step 6: Final answer
    x = 68,184.87

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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.