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Finding the Fourth Proportional to 31,672.60, 47,510.43 and 8,299.06

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Solution

The fourth proportional to 31,672.60, 47,510.43 and 8,299.06 is: 12,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.60 : 47,510.43 = 8,299.06 : x
  2. Step 2: Convert to fraction form
    31,672.60/47,510.43 = 8,299.06/x
  3. Step 3: Cross multiply
    31,672.60x = 47,510.43 × 8,299.06
  4. Step 4: Simplify right side
    31,672.60x = 394,291,909.20
  5. Step 5: Solve for x
    x = 394,291,909.20/31,672.60
  6. Step 6: Final answer
    x = 12,448.99

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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.