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Finding the Fourth Proportional to 77,149.86, 115,723.56 and 24,558.60

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Solution

The fourth proportional to 77,149.86, 115,723.56 and 24,558.60 is: 36,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149.86 : 115,723.56 = 24,558.60 : x
  2. Step 2: Convert to fraction form
    77,149.86/115,723.56 = 24,558.60/x
  3. Step 3: Cross multiply
    77,149.86x = 115,723.56 × 24,558.60
  4. Step 4: Simplify right side
    77,149.86x = 2,842,008,620.62
  5. Step 5: Solve for x
    x = 2,842,008,620.62/77,149.86
  6. Step 6: Final answer
    x = 36,837.51

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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.