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Finding the Fourth Proportional to 82,625.27, 114,022.59 and 46,822.10

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Solution

The fourth proportional to 82,625.27, 114,022.59 and 46,822.10 is: 64,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,625.27 : 114,022.59 = 46,822.10 : x
  2. Step 2: Convert to fraction form
    82,625.27/114,022.59 = 46,822.10/x
  3. Step 3: Cross multiply
    82,625.27x = 114,022.59 × 46,822.10
  4. Step 4: Simplify right side
    82,625.27x = 5,338,777,006.92
  5. Step 5: Solve for x
    x = 5,338,777,006.92/82,625.27
  6. Step 6: Final answer
    x = 64,614.34

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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.