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Finding the Fourth Proportional to 88,633.50, 132,950.16 and 32,478

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Solution

The fourth proportional to 88,633.50, 132,950.16 and 32,478 is: 48,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,633.50 : 132,950.16 = 32,478 : x
  2. Step 2: Convert to fraction form
    88,633.50/132,950.16 = 32,478/x
  3. Step 3: Cross multiply
    88,633.50x = 132,950.16 × 32,478
  4. Step 4: Simplify right side
    88,633.50x = 4,317,955,296.48
  5. Step 5: Solve for x
    x = 4,317,955,296.48/88,633.50
  6. Step 6: Final answer
    x = 48,716.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.