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Finding the Fourth Proportional to 31,674.72, 47,508 and 8,303.04

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Solution

The fourth proportional to 31,674.72, 47,508 and 8,303.04 is: 12,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.72 : 47,508 = 8,303.04 : x
  2. Step 2: Convert to fraction form
    31,674.72/47,508 = 8,303.04/x
  3. Step 3: Cross multiply
    31,674.72x = 47,508 × 8,303.04
  4. Step 4: Simplify right side
    31,674.72x = 394,460,824.32
  5. Step 5: Solve for x
    x = 394,460,824.32/31,674.72
  6. Step 6: Final answer
    x = 12,453.49

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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.