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Finding the Fourth Proportional to 82,863.57, 114,352.51 and 47,054.39

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Solution

The fourth proportional to 82,863.57, 114,352.51 and 47,054.39 is: 64,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.57 : 114,352.51 = 47,054.39 : x
  2. Step 2: Convert to fraction form
    82,863.57/114,352.51 = 47,054.39/x
  3. Step 3: Cross multiply
    82,863.57x = 114,352.51 × 47,054.39
  4. Step 4: Simplify right side
    82,863.57x = 5,380,787,001.85
  5. Step 5: Solve for x
    x = 5,380,787,001.85/82,863.57
  6. Step 6: Final answer
    x = 64,935.49

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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.