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Finding the Fourth Proportional to 34,412.62, 51,541.88 and 29,912.62

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Solution

The fourth proportional to 34,412.62, 51,541.88 and 29,912.62 is: 44,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.62 : 51,541.88 = 29,912.62 : x
  2. Step 2: Convert to fraction form
    34,412.62/51,541.88 = 29,912.62/x
  3. Step 3: Cross multiply
    34,412.62x = 51,541.88 × 29,912.62
  4. Step 4: Simplify right side
    34,412.62x = 1,541,752,670.53
  5. Step 5: Solve for x
    x = 1,541,752,670.53/34,412.62
  6. Step 6: Final answer
    x = 44,801.96

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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.