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Finding the Fourth Proportional to 100,546.86, 150,839.73 and 38,212.50

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Solution

The fourth proportional to 100,546.86, 150,839.73 and 38,212.50 is: 57,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546.86 : 150,839.73 = 38,212.50 : x
  2. Step 2: Convert to fraction form
    100,546.86/150,839.73 = 38,212.50/x
  3. Step 3: Cross multiply
    100,546.86x = 150,839.73 × 38,212.50
  4. Step 4: Simplify right side
    100,546.86x = 5,763,963,182.63
  5. Step 5: Solve for x
    x = 5,763,963,182.63/100,546.86
  6. Step 6: Final answer
    x = 57,326.14

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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.