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Finding the Fourth Proportional to 29,672.64, 44,509.44 and 14,091.84

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Solution

The fourth proportional to 29,672.64, 44,509.44 and 14,091.84 is: 21,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.64 : 44,509.44 = 14,091.84 : x
  2. Step 2: Convert to fraction form
    29,672.64/44,509.44 = 14,091.84/x
  3. Step 3: Cross multiply
    29,672.64x = 44,509.44 × 14,091.84
  4. Step 4: Simplify right side
    29,672.64x = 627,219,906.97
  5. Step 5: Solve for x
    x = 627,219,906.97/29,672.64
  6. Step 6: Final answer
    x = 21,137.99

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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.