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Finding the Fourth Proportional to 32,685.12, 49,027.68 and 9,311.63

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Solution

The fourth proportional to 32,685.12, 49,027.68 and 9,311.63 is: 13,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,685.12 : 49,027.68 = 9,311.63 : x
  2. Step 2: Convert to fraction form
    32,685.12/49,027.68 = 9,311.63/x
  3. Step 3: Cross multiply
    32,685.12x = 49,027.68 × 9,311.63
  4. Step 4: Simplify right side
    32,685.12x = 456,527,370.78
  5. Step 5: Solve for x
    x = 456,527,370.78/32,685.12
  6. Step 6: Final answer
    x = 13,967.44

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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.