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Finding the Fourth Proportional to 75,708.70, 113,588.33 and 33,582.97

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Solution

The fourth proportional to 75,708.70, 113,588.33 and 33,582.97 is: 50,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708.70 : 113,588.33 = 33,582.97 : x
  2. Step 2: Convert to fraction form
    75,708.70/113,588.33 = 33,582.97/x
  3. Step 3: Cross multiply
    75,708.70x = 113,588.33 × 33,582.97
  4. Step 4: Simplify right side
    75,708.70x = 3,814,633,310.83
  5. Step 5: Solve for x
    x = 3,814,633,310.83/75,708.70
  6. Step 6: Final answer
    x = 50,385.67

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1.5x scale

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.