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Finding the Fourth Proportional to 82,406.97, 113,721.03 and 44,681.22

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Solution

The fourth proportional to 82,406.97, 113,721.03 and 44,681.22 is: 61,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.97 : 113,721.03 = 44,681.22 : x
  2. Step 2: Convert to fraction form
    82,406.97/113,721.03 = 44,681.22/x
  3. Step 3: Cross multiply
    82,406.97x = 113,721.03 × 44,681.22
  4. Step 4: Simplify right side
    82,406.97x = 5,081,194,360.06
  5. Step 5: Solve for x
    x = 5,081,194,360.06/82,406.97
  6. Step 6: Final answer
    x = 61,659.76

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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.