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Finding the Fourth Proportional to 31,847.99, 47,772.10 and 9,661.56

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Solution

The fourth proportional to 31,847.99, 47,772.10 and 9,661.56 is: 14,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.99 : 47,772.10 = 9,661.56 : x
  2. Step 2: Convert to fraction form
    31,847.99/47,772.10 = 9,661.56/x
  3. Step 3: Cross multiply
    31,847.99x = 47,772.10 × 9,661.56
  4. Step 4: Simplify right side
    31,847.99x = 461,553,010.48
  5. Step 5: Solve for x
    x = 461,553,010.48/31,847.99
  6. Step 6: Final answer
    x = 14,492.37

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1.5x scale

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.