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Finding the Fourth Proportional to 83,187, 114,791.52 and 47,369.88

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Solution

The fourth proportional to 83,187, 114,791.52 and 47,369.88 is: 65,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187 : 114,791.52 = 47,369.88 : x
  2. Step 2: Convert to fraction form
    83,187/114,791.52 = 47,369.88/x
  3. Step 3: Cross multiply
    83,187x = 114,791.52 × 47,369.88
  4. Step 4: Simplify right side
    83,187x = 5,437,660,527.42
  5. Step 5: Solve for x
    x = 5,437,660,527.42/83,187
  6. Step 6: Final answer
    x = 65,366.71

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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.