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Finding the Fourth Proportional to 75,738.96, 113,660.28 and 36,323.28

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Solution

The fourth proportional to 75,738.96, 113,660.28 and 36,323.28 is: 54,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,738.96 : 113,660.28 = 36,323.28 : x
  2. Step 2: Convert to fraction form
    75,738.96/113,660.28 = 36,323.28/x
  3. Step 3: Cross multiply
    75,738.96x = 113,660.28 × 36,323.28
  4. Step 4: Simplify right side
    75,738.96x = 4,128,514,175.32
  5. Step 5: Solve for x
    x = 4,128,514,175.32/75,738.96
  6. Step 6: Final answer
    x = 54,509.78

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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.