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Finding the Fourth Proportional to 83,131.36, 114,721.40 and 47,321.37

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Solution

The fourth proportional to 83,131.36, 114,721.40 and 47,321.37 is: 65,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,131.36 : 114,721.40 = 47,321.37 : x
  2. Step 2: Convert to fraction form
    83,131.36/114,721.40 = 47,321.37/x
  3. Step 3: Cross multiply
    83,131.36x = 114,721.40 × 47,321.37
  4. Step 4: Simplify right side
    83,131.36x = 5,428,773,934.62
  5. Step 5: Solve for x
    x = 5,428,773,934.62/83,131.36
  6. Step 6: Final answer
    x = 65,303.56

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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.