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Finding the Fourth Proportional to 37,682.56, 56,523.84 and 9,980.32

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Solution

The fourth proportional to 37,682.56, 56,523.84 and 9,980.32 is: 14,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.56 : 56,523.84 = 9,980.32 : x
  2. Step 2: Convert to fraction form
    37,682.56/56,523.84 = 9,980.32/x
  3. Step 3: Cross multiply
    37,682.56x = 56,523.84 × 9,980.32
  4. Step 4: Simplify right side
    37,682.56x = 564,126,010.83
  5. Step 5: Solve for x
    x = 564,126,010.83/37,682.56
  6. Step 6: Final answer
    x = 14,970.48

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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.