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Finding the Fourth Proportional to 75,994.26, 113,820.06 and 36,580.86

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Solution

The fourth proportional to 75,994.26, 113,820.06 and 36,580.86 is: 54,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,994.26 : 113,820.06 = 36,580.86 : x
  2. Step 2: Convert to fraction form
    75,994.26/113,820.06 = 36,580.86/x
  3. Step 3: Cross multiply
    75,994.26x = 113,820.06 × 36,580.86
  4. Step 4: Simplify right side
    75,994.26x = 4,163,635,680.05
  5. Step 5: Solve for x
    x = 4,163,635,680.05/75,994.26
  6. Step 6: Final answer
    x = 54,788.82

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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.