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Finding the Fourth Proportional to 82,899.75, 114,401.67 and 45,174

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Solution

The fourth proportional to 82,899.75, 114,401.67 and 45,174 is: 62,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,899.75 : 114,401.67 = 45,174 : x
  2. Step 2: Convert to fraction form
    82,899.75/114,401.67 = 45,174/x
  3. Step 3: Cross multiply
    82,899.75x = 114,401.67 × 45,174
  4. Step 4: Simplify right side
    82,899.75x = 5,167,981,040.58
  5. Step 5: Solve for x
    x = 5,167,981,040.58/82,899.75
  6. Step 6: Final answer
    x = 62,340.13

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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.