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Finding the Fourth Proportional to 82,910.25, 114,416.96 and 45,185.31

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Solution

The fourth proportional to 82,910.25, 114,416.96 and 45,185.31 is: 62,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,910.25 : 114,416.96 = 45,185.31 : x
  2. Step 2: Convert to fraction form
    82,910.25/114,416.96 = 45,185.31/x
  3. Step 3: Cross multiply
    82,910.25x = 114,416.96 × 45,185.31
  4. Step 4: Simplify right side
    82,910.25x = 5,169,965,580.93
  5. Step 5: Solve for x
    x = 5,169,965,580.93/82,910.25
  6. Step 6: Final answer
    x = 62,356.17

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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.