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Finding the Fourth Proportional to 82,131.82, 113,335.11 and 46,330.63

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Solution

The fourth proportional to 82,131.82, 113,335.11 and 46,330.63 is: 63,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,131.82 : 113,335.11 = 46,330.63 : x
  2. Step 2: Convert to fraction form
    82,131.82/113,335.11 = 46,330.63/x
  3. Step 3: Cross multiply
    82,131.82x = 113,335.11 × 46,330.63
  4. Step 4: Simplify right side
    82,131.82x = 5,250,887,047.42
  5. Step 5: Solve for x
    x = 5,250,887,047.42/82,131.82
  6. Step 6: Final answer
    x = 63,932.43

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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.