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Finding the Fourth Proportional to 83,076.98, 114,644.75 and 47,266.20

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Solution

The fourth proportional to 83,076.98, 114,644.75 and 47,266.20 is: 65,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.98 : 114,644.75 = 47,266.20 : x
  2. Step 2: Convert to fraction form
    83,076.98/114,644.75 = 47,266.20/x
  3. Step 3: Cross multiply
    83,076.98x = 114,644.75 × 47,266.20
  4. Step 4: Simplify right side
    83,076.98x = 5,418,821,446.12
  5. Step 5: Solve for x
    x = 5,418,821,446.12/83,076.98
  6. Step 6: Final answer
    x = 65,226.51

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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.