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Finding the Fourth Proportional to 29,711.70, 44,566.41 and 7,525.86

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Solution

The fourth proportional to 29,711.70, 44,566.41 and 7,525.86 is: 11,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.70 : 44,566.41 = 7,525.86 : x
  2. Step 2: Convert to fraction form
    29,711.70/44,566.41 = 7,525.86/x
  3. Step 3: Cross multiply
    29,711.70x = 44,566.41 × 7,525.86
  4. Step 4: Simplify right side
    29,711.70x = 335,400,562.36
  5. Step 5: Solve for x
    x = 335,400,562.36/29,711.70
  6. Step 6: Final answer
    x = 11,288.50

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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.