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Finding the Fourth Proportional to 80,967, 111,731.22 and 45,156.72

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Solution

The fourth proportional to 80,967, 111,731.22 and 45,156.72 is: 62,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,967 : 111,731.22 = 45,156.72 : x
  2. Step 2: Convert to fraction form
    80,967/111,731.22 = 45,156.72/x
  3. Step 3: Cross multiply
    80,967x = 111,731.22 × 45,156.72
  4. Step 4: Simplify right side
    80,967x = 5,045,415,416.80
  5. Step 5: Solve for x
    x = 5,045,415,416.80/80,967
  6. Step 6: Final answer
    x = 62,314.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.