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Finding the Fourth Proportional to 76,224.32, 114,375.50 and 36,288.48

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Solution

The fourth proportional to 76,224.32, 114,375.50 and 36,288.48 is: 54,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,224.32 : 114,375.50 = 36,288.48 : x
  2. Step 2: Convert to fraction form
    76,224.32/114,375.50 = 36,288.48/x
  3. Step 3: Cross multiply
    76,224.32x = 114,375.50 × 36,288.48
  4. Step 4: Simplify right side
    76,224.32x = 4,150,513,044.24
  5. Step 5: Solve for x
    x = 4,150,513,044.24/76,224.32
  6. Step 6: Final answer
    x = 54,451.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.