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Finding the Fourth Proportional to 82,781.57, 114,208.93 and 55,564.31

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Solution

The fourth proportional to 82,781.57, 114,208.93 and 55,564.31 is: 76,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,781.57 : 114,208.93 = 55,564.31 : x
  2. Step 2: Convert to fraction form
    82,781.57/114,208.93 = 55,564.31/x
  3. Step 3: Cross multiply
    82,781.57x = 114,208.93 × 55,564.31
  4. Step 4: Simplify right side
    82,781.57x = 6,345,940,391.29
  5. Step 5: Solve for x
    x = 6,345,940,391.29/82,781.57
  6. Step 6: Final answer
    x = 76,658.86

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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.