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Finding the Fourth Proportional to 31,498.50, 47,255.04 and 10,722

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Solution

The fourth proportional to 31,498.50, 47,255.04 and 10,722 is: 16,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.50 : 47,255.04 = 10,722 : x
  2. Step 2: Convert to fraction form
    31,498.50/47,255.04 = 10,722/x
  3. Step 3: Cross multiply
    31,498.50x = 47,255.04 × 10,722
  4. Step 4: Simplify right side
    31,498.50x = 506,668,538.88
  5. Step 5: Solve for x
    x = 506,668,538.88/31,498.50
  6. Step 6: Final answer
    x = 16,085.48

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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.