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Finding the Fourth Proportional to 31,769.03, 47,615.06 and 17,714.12

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Solution

The fourth proportional to 31,769.03, 47,615.06 and 17,714.12 is: 26,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,769.03 : 47,615.06 = 17,714.12 : x
  2. Step 2: Convert to fraction form
    31,769.03/47,615.06 = 17,714.12/x
  3. Step 3: Cross multiply
    31,769.03x = 47,615.06 × 17,714.12
  4. Step 4: Simplify right side
    31,769.03x = 843,458,692.86
  5. Step 5: Solve for x
    x = 843,458,692.86/31,769.03
  6. Step 6: Final answer
    x = 26,549.71

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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.