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Finding the Fourth Proportional to 29,446.68, 44,137.89 and 14,464.11

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Solution

The fourth proportional to 29,446.68, 44,137.89 and 14,464.11 is: 21,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,446.68 : 44,137.89 = 14,464.11 : x
  2. Step 2: Convert to fraction form
    29,446.68/44,137.89 = 14,464.11/x
  3. Step 3: Cross multiply
    29,446.68x = 44,137.89 × 14,464.11
  4. Step 4: Simplify right side
    29,446.68x = 638,415,296.13
  5. Step 5: Solve for x
    x = 638,415,296.13/29,446.68
  6. Step 6: Final answer
    x = 21,680.38

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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.