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Finding the Fourth Proportional to 82,924.38, 114,435.39 and 47,112.66

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Solution

The fourth proportional to 82,924.38, 114,435.39 and 47,112.66 is: 65,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924.38 : 114,435.39 = 47,112.66 : x
  2. Step 2: Convert to fraction form
    82,924.38/114,435.39 = 47,112.66/x
  3. Step 3: Cross multiply
    82,924.38x = 114,435.39 × 47,112.66
  4. Step 4: Simplify right side
    82,924.38x = 5,391,355,621.04
  5. Step 5: Solve for x
    x = 5,391,355,621.04/82,924.38
  6. Step 6: Final answer
    x = 65,015.33

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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.