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Finding the Fourth Proportional to 29,122.50, 43,683.78 and 7,234.50

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Solution

The fourth proportional to 29,122.50, 43,683.78 and 7,234.50 is: 10,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,122.50 : 43,683.78 = 7,234.50 : x
  2. Step 2: Convert to fraction form
    29,122.50/43,683.78 = 7,234.50/x
  3. Step 3: Cross multiply
    29,122.50x = 43,683.78 × 7,234.50
  4. Step 4: Simplify right side
    29,122.50x = 316,030,306.41
  5. Step 5: Solve for x
    x = 316,030,306.41/29,122.50
  6. Step 6: Final answer
    x = 10,851.76

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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.