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Finding the Fourth Proportional to 37,714.56, 56,563.20 and 16,944

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Solution

The fourth proportional to 37,714.56, 56,563.20 and 16,944 is: 25,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714.56 : 56,563.20 = 16,944 : x
  2. Step 2: Convert to fraction form
    37,714.56/56,563.20 = 16,944/x
  3. Step 3: Cross multiply
    37,714.56x = 56,563.20 × 16,944
  4. Step 4: Simplify right side
    37,714.56x = 958,406,860.80
  5. Step 5: Solve for x
    x = 958,406,860.80/37,714.56
  6. Step 6: Final answer
    x = 25,412.12

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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.