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Finding the Fourth Proportional to 82,771.26, 114,222.15 and 45,044.70

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Solution

The fourth proportional to 82,771.26, 114,222.15 and 45,044.70 is: 62,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771.26 : 114,222.15 = 45,044.70 : x
  2. Step 2: Convert to fraction form
    82,771.26/114,222.15 = 45,044.70/x
  3. Step 3: Cross multiply
    82,771.26x = 114,222.15 × 45,044.70
  4. Step 4: Simplify right side
    82,771.26x = 5,145,102,480.11
  5. Step 5: Solve for x
    x = 5,145,102,480.11/82,771.26
  6. Step 6: Final answer
    x = 62,160.49

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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.