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Finding the Fourth Proportional to 32,820.20, 49,230.30 and 9,447.40

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Solution

The fourth proportional to 32,820.20, 49,230.30 and 9,447.40 is: 14,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.20 : 49,230.30 = 9,447.40 : x
  2. Step 2: Convert to fraction form
    32,820.20/49,230.30 = 9,447.40/x
  3. Step 3: Cross multiply
    32,820.20x = 49,230.30 × 9,447.40
  4. Step 4: Simplify right side
    32,820.20x = 465,098,336.22
  5. Step 5: Solve for x
    x = 465,098,336.22/32,820.20
  6. Step 6: Final answer
    x = 14,171.10

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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.