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Finding the Fourth Proportional to 29,635.71, 44,446.91 and 8,571.06

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Solution

The fourth proportional to 29,635.71, 44,446.91 and 8,571.06 is: 12,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,635.71 : 44,446.91 = 8,571.06 : x
  2. Step 2: Convert to fraction form
    29,635.71/44,446.91 = 8,571.06/x
  3. Step 3: Cross multiply
    29,635.71x = 44,446.91 × 8,571.06
  4. Step 4: Simplify right side
    29,635.71x = 380,956,910.19
  5. Step 5: Solve for x
    x = 380,956,910.19/29,635.71
  6. Step 6: Final answer
    x = 12,854.66

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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.