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Finding the Fourth Proportional to 76,625.19, 114,919.56 and 24,027.84

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Solution

The fourth proportional to 76,625.19, 114,919.56 and 24,027.84 is: 36,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,625.19 : 114,919.56 = 24,027.84 : x
  2. Step 2: Convert to fraction form
    76,625.19/114,919.56 = 24,027.84/x
  3. Step 3: Cross multiply
    76,625.19x = 114,919.56 × 24,027.84
  4. Step 4: Simplify right side
    76,625.19x = 2,761,268,800.55
  5. Step 5: Solve for x
    x = 2,761,268,800.55/76,625.19
  6. Step 6: Final answer
    x = 36,036.05

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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.