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Finding the Fourth Proportional to 36,714.24, 55,070.88 and 9,012

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Solution

The fourth proportional to 36,714.24, 55,070.88 and 9,012 is: 13,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714.24 : 55,070.88 = 9,012 : x
  2. Step 2: Convert to fraction form
    36,714.24/55,070.88 = 9,012/x
  3. Step 3: Cross multiply
    36,714.24x = 55,070.88 × 9,012
  4. Step 4: Simplify right side
    36,714.24x = 496,298,770.56
  5. Step 5: Solve for x
    x = 496,298,770.56/36,714.24
  6. Step 6: Final answer
    x = 13,517.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.