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Finding the Fourth Proportional to 32,840.76, 49,266 and 12,062.64

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Solution

The fourth proportional to 32,840.76, 49,266 and 12,062.64 is: 18,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840.76 : 49,266 = 12,062.64 : x
  2. Step 2: Convert to fraction form
    32,840.76/49,266 = 12,062.64/x
  3. Step 3: Cross multiply
    32,840.76x = 49,266 × 12,062.64
  4. Step 4: Simplify right side
    32,840.76x = 594,278,022.24
  5. Step 5: Solve for x
    x = 594,278,022.24/32,840.76
  6. Step 6: Final answer
    x = 18,095.75

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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.