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Finding the Fourth Proportional to 31,704.67, 47,542.99 and 9,513.79

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Solution

The fourth proportional to 31,704.67, 47,542.99 and 9,513.79 is: 14,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.67 : 47,542.99 = 9,513.79 : x
  2. Step 2: Convert to fraction form
    31,704.67/47,542.99 = 9,513.79/x
  3. Step 3: Cross multiply
    31,704.67x = 47,542.99 × 9,513.79
  4. Step 4: Simplify right side
    31,704.67x = 452,314,085.22
  5. Step 5: Solve for x
    x = 452,314,085.22/31,704.67
  6. Step 6: Final answer
    x = 14,266.48

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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.