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Finding the Fourth Proportional to 32,054.38, 48,077.94 and 8,682.64

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Solution

The fourth proportional to 32,054.38, 48,077.94 and 8,682.64 is: 13,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.38 : 48,077.94 = 8,682.64 : x
  2. Step 2: Convert to fraction form
    32,054.38/48,077.94 = 8,682.64/x
  3. Step 3: Cross multiply
    32,054.38x = 48,077.94 × 8,682.64
  4. Step 4: Simplify right side
    32,054.38x = 417,443,444.96
  5. Step 5: Solve for x
    x = 417,443,444.96/32,054.38
  6. Step 6: Final answer
    x = 13,022.98

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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.