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Finding the Fourth Proportional to 77,582.20, 107,063.52 and 44,048.20

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Solution

The fourth proportional to 77,582.20, 107,063.52 and 44,048.20 is: 60,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,582.20 : 107,063.52 = 44,048.20 : x
  2. Step 2: Convert to fraction form
    77,582.20/107,063.52 = 44,048.20/x
  3. Step 3: Cross multiply
    77,582.20x = 107,063.52 × 44,048.20
  4. Step 4: Simplify right side
    77,582.20x = 4,715,954,806.35
  5. Step 5: Solve for x
    x = 4,715,954,806.35/77,582.20
  6. Step 6: Final answer
    x = 60,786.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.