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Finding the Fourth Proportional to 30,649.20, 45,910.02 and 29,591.76

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Solution

The fourth proportional to 30,649.20, 45,910.02 and 29,591.76 is: 44,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.20 : 45,910.02 = 29,591.76 : x
  2. Step 2: Convert to fraction form
    30,649.20/45,910.02 = 29,591.76/x
  3. Step 3: Cross multiply
    30,649.20x = 45,910.02 × 29,591.76
  4. Step 4: Simplify right side
    30,649.20x = 1,358,558,293.44
  5. Step 5: Solve for x
    x = 1,358,558,293.44/30,649.20
  6. Step 6: Final answer
    x = 44,326.06

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