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Finding the Fourth Proportional to 100,376.43, 150,578.94 and 32,894.01

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Solution

The fourth proportional to 100,376.43, 150,578.94 and 32,894.01 is: 49,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,376.43 : 150,578.94 = 32,894.01 : x
  2. Step 2: Convert to fraction form
    100,376.43/150,578.94 = 32,894.01/x
  3. Step 3: Cross multiply
    100,376.43x = 150,578.94 × 32,894.01
  4. Step 4: Simplify right side
    100,376.43x = 4,953,145,158.15
  5. Step 5: Solve for x
    x = 4,953,145,158.15/100,376.43
  6. Step 6: Final answer
    x = 49,345.70

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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.