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Finding the Fourth Proportional to 29,321.46, 43,981.56 and 7,134.96

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Solution

The fourth proportional to 29,321.46, 43,981.56 and 7,134.96 is: 10,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,321.46 : 43,981.56 = 7,134.96 : x
  2. Step 2: Convert to fraction form
    29,321.46/43,981.56 = 7,134.96/x
  3. Step 3: Cross multiply
    29,321.46x = 43,981.56 × 7,134.96
  4. Step 4: Simplify right side
    29,321.46x = 313,806,671.34
  5. Step 5: Solve for x
    x = 313,806,671.34/29,321.46
  6. Step 6: Final answer
    x = 10,702.29

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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.