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Finding the Fourth Proportional to 37,780.30, 56,714.10 and 20,284.30

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Solution

The fourth proportional to 37,780.30, 56,714.10 and 20,284.30 is: 30,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780.30 : 56,714.10 = 20,284.30 : x
  2. Step 2: Convert to fraction form
    37,780.30/56,714.10 = 20,284.30/x
  3. Step 3: Cross multiply
    37,780.30x = 56,714.10 × 20,284.30
  4. Step 4: Simplify right side
    37,780.30x = 1,150,405,818.63
  5. Step 5: Solve for x
    x = 1,150,405,818.63/37,780.30
  6. Step 6: Final answer
    x = 30,449.89

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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.