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Finding the Fourth Proportional to 152,927.46, 229,391.10 and 47,755.44

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Solution

The fourth proportional to 152,927.46, 229,391.10 and 47,755.44 is: 71,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,927.46 : 229,391.10 = 47,755.44 : x
  2. Step 2: Convert to fraction form
    152,927.46/229,391.10 = 47,755.44/x
  3. Step 3: Cross multiply
    152,927.46x = 229,391.10 × 47,755.44
  4. Step 4: Simplify right side
    152,927.46x = 10,954,672,912.58
  5. Step 5: Solve for x
    x = 10,954,672,912.58/152,927.46
  6. Step 6: Final answer
    x = 71,633.13

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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.