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Finding the Fourth Proportional to 77,168.35, 115,774.44 and 24,581.89

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Solution

The fourth proportional to 77,168.35, 115,774.44 and 24,581.89 is: 36,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,168.35 : 115,774.44 = 24,581.89 : x
  2. Step 2: Convert to fraction form
    77,168.35/115,774.44 = 24,581.89/x
  3. Step 3: Cross multiply
    77,168.35x = 115,774.44 × 24,581.89
  4. Step 4: Simplify right side
    77,168.35x = 2,845,954,548.89
  5. Step 5: Solve for x
    x = 2,845,954,548.89/77,168.35
  6. Step 6: Final answer
    x = 36,879.82

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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.