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Finding the Fourth Proportional to 82,738.15, 114,175.05 and 45,942.08

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Solution

The fourth proportional to 82,738.15, 114,175.05 and 45,942.08 is: 63,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,738.15 : 114,175.05 = 45,942.08 : x
  2. Step 2: Convert to fraction form
    82,738.15/114,175.05 = 45,942.08/x
  3. Step 3: Cross multiply
    82,738.15x = 114,175.05 × 45,942.08
  4. Step 4: Simplify right side
    82,738.15x = 5,245,438,624.09
  5. Step 5: Solve for x
    x = 5,245,438,624.09/82,738.15
  6. Step 6: Final answer
    x = 63,398.06

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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.