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Finding the Fourth Proportional to 29,708.40, 44,558.76 and 11,238

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Solution

The fourth proportional to 29,708.40, 44,558.76 and 11,238 is: 16,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708.40 : 44,558.76 = 11,238 : x
  2. Step 2: Convert to fraction form
    29,708.40/44,558.76 = 11,238/x
  3. Step 3: Cross multiply
    29,708.40x = 44,558.76 × 11,238
  4. Step 4: Simplify right side
    29,708.40x = 500,751,344.88
  5. Step 5: Solve for x
    x = 500,751,344.88/29,708.40
  6. Step 6: Final answer
    x = 16,855.55

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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.