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Finding the Fourth Proportional to 77,305.93, 115,981.03 and 37,874.59

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Solution

The fourth proportional to 77,305.93, 115,981.03 and 37,874.59 is: 56,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,305.93 : 115,981.03 = 37,874.59 : x
  2. Step 2: Convert to fraction form
    77,305.93/115,981.03 = 37,874.59/x
  3. Step 3: Cross multiply
    77,305.93x = 115,981.03 × 37,874.59
  4. Step 4: Simplify right side
    77,305.93x = 4,392,733,716.42
  5. Step 5: Solve for x
    x = 4,392,733,716.42/77,305.93
  6. Step 6: Final answer
    x = 56,822.73

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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.