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Finding the Fourth Proportional to 82,462.81, 113,789.03 and 46,166.23

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Solution

The fourth proportional to 82,462.81, 113,789.03 and 46,166.23 is: 63,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,462.81 : 113,789.03 = 46,166.23 : x
  2. Step 2: Convert to fraction form
    82,462.81/113,789.03 = 46,166.23/x
  3. Step 3: Cross multiply
    82,462.81x = 113,789.03 × 46,166.23
  4. Step 4: Simplify right side
    82,462.81x = 5,253,210,251.67
  5. Step 5: Solve for x
    x = 5,253,210,251.67/82,462.81
  6. Step 6: Final answer
    x = 63,703.99

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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.