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Finding the Fourth Proportional to 30,078.91, 41,509.48 and 16,649.78

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Solution

The fourth proportional to 30,078.91, 41,509.48 and 16,649.78 is: 22,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.91 : 41,509.48 = 16,649.78 : x
  2. Step 2: Convert to fraction form
    30,078.91/41,509.48 = 16,649.78/x
  3. Step 3: Cross multiply
    30,078.91x = 41,509.48 × 16,649.78
  4. Step 4: Simplify right side
    30,078.91x = 691,123,709.91
  5. Step 5: Solve for x
    x = 691,123,709.91/30,078.91
  6. Step 6: Final answer
    x = 22,977.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.