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Finding the Fourth Proportional to 83,163.78, 114,733.44 and 51,277.32

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Solution

The fourth proportional to 83,163.78, 114,733.44 and 51,277.32 is: 70,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163.78 : 114,733.44 = 51,277.32 : x
  2. Step 2: Convert to fraction form
    83,163.78/114,733.44 = 51,277.32/x
  3. Step 3: Cross multiply
    83,163.78x = 114,733.44 × 51,277.32
  4. Step 4: Simplify right side
    83,163.78x = 5,883,223,317.58
  5. Step 5: Solve for x
    x = 5,883,223,317.58/83,163.78
  6. Step 6: Final answer
    x = 70,742.62

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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.