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Finding the Fourth Proportional to 82,663.91, 114,076.31 and 44,938.16

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Solution

The fourth proportional to 82,663.91, 114,076.31 and 44,938.16 is: 62,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.91 : 114,076.31 = 44,938.16 : x
  2. Step 2: Convert to fraction form
    82,663.91/114,076.31 = 44,938.16/x
  3. Step 3: Cross multiply
    82,663.91x = 114,076.31 × 44,938.16
  4. Step 4: Simplify right side
    82,663.91x = 5,126,379,470.99
  5. Step 5: Solve for x
    x = 5,126,379,470.99/82,663.91
  6. Step 6: Final answer
    x = 62,014.72

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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.