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Finding the Fourth Proportional to 96,231.82, 132,788.32 and 53,205.50

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Solution

The fourth proportional to 96,231.82, 132,788.32 and 53,205.50 is: 73,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,231.82 : 132,788.32 = 53,205.50 : x
  2. Step 2: Convert to fraction form
    96,231.82/132,788.32 = 53,205.50/x
  3. Step 3: Cross multiply
    96,231.82x = 132,788.32 × 53,205.50
  4. Step 4: Simplify right side
    96,231.82x = 7,065,068,860.28
  5. Step 5: Solve for x
    x = 7,065,068,860.28/96,231.82
  6. Step 6: Final answer
    x = 73,417.18

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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.