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Finding the Fourth Proportional to 73,523.80, 110,231.70 and 23,575.24

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Solution

The fourth proportional to 73,523.80, 110,231.70 and 23,575.24 is: 35,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,523.80 : 110,231.70 = 23,575.24 : x
  2. Step 2: Convert to fraction form
    73,523.80/110,231.70 = 23,575.24/x
  3. Step 3: Cross multiply
    73,523.80x = 110,231.70 × 23,575.24
  4. Step 4: Simplify right side
    73,523.80x = 2,598,738,783.11
  5. Step 5: Solve for x
    x = 2,598,738,783.11/73,523.80
  6. Step 6: Final answer
    x = 35,345.55

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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.