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Finding the Fourth Proportional to 82,486.88, 113,834.10 and 44,761.16

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Solution

The fourth proportional to 82,486.88, 113,834.10 and 44,761.16 is: 61,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,486.88 : 113,834.10 = 44,761.16 : x
  2. Step 2: Convert to fraction form
    82,486.88/113,834.10 = 44,761.16/x
  3. Step 3: Cross multiply
    82,486.88x = 113,834.10 × 44,761.16
  4. Step 4: Simplify right side
    82,486.88x = 5,095,346,363.56
  5. Step 5: Solve for x
    x = 5,095,346,363.56/82,486.88
  6. Step 6: Final answer
    x = 61,771.60

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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.