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Finding the Fourth Proportional to 37,809.72, 52,177.38 and 23,464.20

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Solution

The fourth proportional to 37,809.72, 52,177.38 and 23,464.20 is: 32,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,809.72 : 52,177.38 = 23,464.20 : x
  2. Step 2: Convert to fraction form
    37,809.72/52,177.38 = 23,464.20/x
  3. Step 3: Cross multiply
    37,809.72x = 52,177.38 × 23,464.20
  4. Step 4: Simplify right side
    37,809.72x = 1,224,300,479.80
  5. Step 5: Solve for x
    x = 1,224,300,479.80/37,809.72
  6. Step 6: Final answer
    x = 32,380.58

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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.