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Finding the Fourth Proportional to 100,947.33, 151,324.61 and 37,750.32

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Solution

The fourth proportional to 100,947.33, 151,324.61 and 37,750.32 is: 56,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,947.33 : 151,324.61 = 37,750.32 : x
  2. Step 2: Convert to fraction form
    100,947.33/151,324.61 = 37,750.32/x
  3. Step 3: Cross multiply
    100,947.33x = 151,324.61 × 37,750.32
  4. Step 4: Simplify right side
    100,947.33x = 5,712,552,262.62
  5. Step 5: Solve for x
    x = 5,712,552,262.62/100,947.33
  6. Step 6: Final answer
    x = 56,589.43

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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.