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Finding the Fourth Proportional to 32,682.48, 49,015.08 and 9,310.20

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Solution

The fourth proportional to 32,682.48, 49,015.08 and 9,310.20 is: 13,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.48 : 49,015.08 = 9,310.20 : x
  2. Step 2: Convert to fraction form
    32,682.48/49,015.08 = 9,310.20/x
  3. Step 3: Cross multiply
    32,682.48x = 49,015.08 × 9,310.20
  4. Step 4: Simplify right side
    32,682.48x = 456,340,197.82
  5. Step 5: Solve for x
    x = 456,340,197.82/32,682.48
  6. Step 6: Final answer
    x = 13,962.84

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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.