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Finding the Fourth Proportional to 76,603.28, 114,819.96 and 32,216.88

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Solution

The fourth proportional to 76,603.28, 114,819.96 and 32,216.88 is: 48,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,603.28 : 114,819.96 = 32,216.88 : x
  2. Step 2: Convert to fraction form
    76,603.28/114,819.96 = 32,216.88/x
  3. Step 3: Cross multiply
    76,603.28x = 114,819.96 × 32,216.88
  4. Step 4: Simplify right side
    76,603.28x = 3,699,140,872.92
  5. Step 5: Solve for x
    x = 3,699,140,872.92/76,603.28
  6. Step 6: Final answer
    x = 48,289.59

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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.