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Finding the Fourth Proportional to 82,506.77, 113,859.30 and 44,781.02

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Solution

The fourth proportional to 82,506.77, 113,859.30 and 44,781.02 is: 61,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506.77 : 113,859.30 = 44,781.02 : x
  2. Step 2: Convert to fraction form
    82,506.77/113,859.30 = 44,781.02/x
  3. Step 3: Cross multiply
    82,506.77x = 113,859.30 × 44,781.02
  4. Step 4: Simplify right side
    82,506.77x = 5,098,735,590.49
  5. Step 5: Solve for x
    x = 5,098,735,590.49/82,506.77
  6. Step 6: Final answer
    x = 61,797.78

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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.