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Finding the Fourth Proportional to 73,737.32, 110,716.74 and 42,183

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Solution

The fourth proportional to 73,737.32, 110,716.74 and 42,183 is: 63,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,737.32 : 110,716.74 = 42,183 : x
  2. Step 2: Convert to fraction form
    73,737.32/110,716.74 = 42,183/x
  3. Step 3: Cross multiply
    73,737.32x = 110,716.74 × 42,183
  4. Step 4: Simplify right side
    73,737.32x = 4,670,364,243.42
  5. Step 5: Solve for x
    x = 4,670,364,243.42/73,737.32
  6. Step 6: Final answer
    x = 63,337.87

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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.