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Finding the Fourth Proportional to 82,716.88, 114,150.18 and 44,991.40

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Solution

The fourth proportional to 82,716.88, 114,150.18 and 44,991.40 is: 62,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,716.88 : 114,150.18 = 44,991.40 : x
  2. Step 2: Convert to fraction form
    82,716.88/114,150.18 = 44,991.40/x
  3. Step 3: Cross multiply
    82,716.88x = 114,150.18 × 44,991.40
  4. Step 4: Simplify right side
    82,716.88x = 5,135,776,408.45
  5. Step 5: Solve for x
    x = 5,135,776,408.45/82,716.88
  6. Step 6: Final answer
    x = 62,088.61

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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.