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Finding the Fourth Proportional to 29,450.39, 44,184.69 and 9,742.82

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Solution

The fourth proportional to 29,450.39, 44,184.69 and 9,742.82 is: 14,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,450.39 : 44,184.69 = 9,742.82 : x
  2. Step 2: Convert to fraction form
    29,450.39/44,184.69 = 9,742.82/x
  3. Step 3: Cross multiply
    29,450.39x = 44,184.69 × 9,742.82
  4. Step 4: Simplify right side
    29,450.39x = 430,483,260.50
  5. Step 5: Solve for x
    x = 430,483,260.50/29,450.39
  6. Step 6: Final answer
    x = 14,617.24

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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.