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Finding the Fourth Proportional to 82,524.31, 113,883.89 and 46,721.21

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Solution

The fourth proportional to 82,524.31, 113,883.89 and 46,721.21 is: 64,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,524.31 : 113,883.89 = 46,721.21 : x
  2. Step 2: Convert to fraction form
    82,524.31/113,883.89 = 46,721.21/x
  3. Step 3: Cross multiply
    82,524.31x = 113,883.89 × 46,721.21
  4. Step 4: Simplify right side
    82,524.31x = 5,320,792,337.28
  5. Step 5: Solve for x
    x = 5,320,792,337.28/82,524.31
  6. Step 6: Final answer
    x = 64,475.46

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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.