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Finding the Fourth Proportional to 29,708.57, 44,562.38 and 7,219.43

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Solution

The fourth proportional to 29,708.57, 44,562.38 and 7,219.43 is: 10,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708.57 : 44,562.38 = 7,219.43 : x
  2. Step 2: Convert to fraction form
    29,708.57/44,562.38 = 7,219.43/x
  3. Step 3: Cross multiply
    29,708.57x = 44,562.38 × 7,219.43
  4. Step 4: Simplify right side
    29,708.57x = 321,714,983.04
  5. Step 5: Solve for x
    x = 321,714,983.04/29,708.57
  6. Step 6: Final answer
    x = 10,829.03

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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.