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Finding the Fourth Proportional to 101,819.65, 152,721.78 and 41,831.77

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Solution

The fourth proportional to 101,819.65, 152,721.78 and 41,831.77 is: 62,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,819.65 : 152,721.78 = 41,831.77 : x
  2. Step 2: Convert to fraction form
    101,819.65/152,721.78 = 41,831.77/x
  3. Step 3: Cross multiply
    101,819.65x = 152,721.78 × 41,831.77
  4. Step 4: Simplify right side
    101,819.65x = 6,388,622,777.19
  5. Step 5: Solve for x
    x = 6,388,622,777.19/101,819.65
  6. Step 6: Final answer
    x = 62,744.50

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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.