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Finding the Fourth Proportional to 75,195, 112,717.44 and 37,640.43

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Solution

The fourth proportional to 75,195, 112,717.44 and 37,640.43 is: 56,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,195 : 112,717.44 = 37,640.43 : x
  2. Step 2: Convert to fraction form
    75,195/112,717.44 = 37,640.43/x
  3. Step 3: Cross multiply
    75,195x = 112,717.44 × 37,640.43
  4. Step 4: Simplify right side
    75,195x = 4,242,732,910.10
  5. Step 5: Solve for x
    x = 4,242,732,910.10/75,195
  6. Step 6: Final answer
    x = 56,423.07

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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.