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Finding the Fourth Proportional to 82,048.90, 113,227.54 and 44,323.14

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Solution

The fourth proportional to 82,048.90, 113,227.54 and 44,323.14 is: 61,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,048.90 : 113,227.54 = 44,323.14 : x
  2. Step 2: Convert to fraction form
    82,048.90/113,227.54 = 44,323.14/x
  3. Step 3: Cross multiply
    82,048.90x = 113,227.54 × 44,323.14
  4. Step 4: Simplify right side
    82,048.90x = 5,018,600,107.28
  5. Step 5: Solve for x
    x = 5,018,600,107.28/82,048.90
  6. Step 6: Final answer
    x = 61,165.96

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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.