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Finding the Fourth Proportional to 96,322, 132,917.12 and 53,872.32

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Solution

The fourth proportional to 96,322, 132,917.12 and 53,872.32 is: 74,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,322 : 132,917.12 = 53,872.32 : x
  2. Step 2: Convert to fraction form
    96,322/132,917.12 = 53,872.32/x
  3. Step 3: Cross multiply
    96,322x = 132,917.12 × 53,872.32
  4. Step 4: Simplify right side
    96,322x = 7,160,553,622.12
  5. Step 5: Solve for x
    x = 7,160,553,622.12/96,322
  6. Step 6: Final answer
    x = 74,339.75

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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.