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Finding the Fourth Proportional to 82,991.57, 114,527.82 and 47,181.59

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Solution

The fourth proportional to 82,991.57, 114,527.82 and 47,181.59 is: 65,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,991.57 : 114,527.82 = 47,181.59 : x
  2. Step 2: Convert to fraction form
    82,991.57/114,527.82 = 47,181.59/x
  3. Step 3: Cross multiply
    82,991.57x = 114,527.82 × 47,181.59
  4. Step 4: Simplify right side
    82,991.57x = 5,403,604,646.83
  5. Step 5: Solve for x
    x = 5,403,604,646.83/82,991.57
  6. Step 6: Final answer
    x = 65,110.28

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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.