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Finding the Fourth Proportional to 82,535.93, 113,902.34 and 46,238.94

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Solution

The fourth proportional to 82,535.93, 113,902.34 and 46,238.94 is: 63,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,535.93 : 113,902.34 = 46,238.94 : x
  2. Step 2: Convert to fraction form
    82,535.93/113,902.34 = 46,238.94/x
  3. Step 3: Cross multiply
    82,535.93x = 113,902.34 × 46,238.94
  4. Step 4: Simplify right side
    82,535.93x = 5,266,723,233.92
  5. Step 5: Solve for x
    x = 5,266,723,233.92/82,535.93
  6. Step 6: Final answer
    x = 63,811.28

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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.