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Finding the Fourth Proportional to 75,348, 113,039.22 and 33,240.06

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Solution

The fourth proportional to 75,348, 113,039.22 and 33,240.06 is: 49,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,348 : 113,039.22 = 33,240.06 : x
  2. Step 2: Convert to fraction form
    75,348/113,039.22 = 33,240.06/x
  3. Step 3: Cross multiply
    75,348x = 113,039.22 × 33,240.06
  4. Step 4: Simplify right side
    75,348x = 3,757,430,455.15
  5. Step 5: Solve for x
    x = 3,757,430,455.15/75,348
  6. Step 6: Final answer
    x = 49,867.69

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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.