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Finding the Fourth Proportional to 82,277.06, 113,542.71 and 44,551.58

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Solution

The fourth proportional to 82,277.06, 113,542.71 and 44,551.58 is: 61,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,277.06 : 113,542.71 = 44,551.58 : x
  2. Step 2: Convert to fraction form
    82,277.06/113,542.71 = 44,551.58/x
  3. Step 3: Cross multiply
    82,277.06x = 113,542.71 × 44,551.58
  4. Step 4: Simplify right side
    82,277.06x = 5,058,507,127.98
  5. Step 5: Solve for x
    x = 5,058,507,127.98/82,277.06
  6. Step 6: Final answer
    x = 61,481.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.