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Finding the Fourth Proportional to 83,272.83, 114,913.62 and 47,474.37

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Solution

The fourth proportional to 83,272.83, 114,913.62 and 47,474.37 is: 65,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272.83 : 114,913.62 = 47,474.37 : x
  2. Step 2: Convert to fraction form
    83,272.83/114,913.62 = 47,474.37/x
  3. Step 3: Cross multiply
    83,272.83x = 114,913.62 × 47,474.37
  4. Step 4: Simplify right side
    83,272.83x = 5,455,451,713.92
  5. Step 5: Solve for x
    x = 5,455,451,713.92/83,272.83
  6. Step 6: Final answer
    x = 65,512.99

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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.