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Finding the Fourth Proportional to 29,681.24, 44,524.02 and 9,951.80

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Solution

The fourth proportional to 29,681.24, 44,524.02 and 9,951.80 is: 14,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,681.24 : 44,524.02 = 9,951.80 : x
  2. Step 2: Convert to fraction form
    29,681.24/44,524.02 = 9,951.80/x
  3. Step 3: Cross multiply
    29,681.24x = 44,524.02 × 9,951.80
  4. Step 4: Simplify right side
    29,681.24x = 443,094,142.24
  5. Step 5: Solve for x
    x = 443,094,142.24/29,681.24
  6. Step 6: Final answer
    x = 14,928.42

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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.