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Finding the Fourth Proportional to 29,871.54, 44,784.27 and 14,286.42

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Solution

The fourth proportional to 29,871.54, 44,784.27 and 14,286.42 is: 21,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871.54 : 44,784.27 = 14,286.42 : x
  2. Step 2: Convert to fraction form
    29,871.54/44,784.27 = 14,286.42/x
  3. Step 3: Cross multiply
    29,871.54x = 44,784.27 × 14,286.42
  4. Step 4: Simplify right side
    29,871.54x = 639,806,890.61
  5. Step 5: Solve for x
    x = 639,806,890.61/29,871.54
  6. Step 6: Final answer
    x = 21,418.61

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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.