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Finding the Fourth Proportional to 32,800.20, 49,202.70 and 9,426.84

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Solution

The fourth proportional to 32,800.20, 49,202.70 and 9,426.84 is: 14,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.20 : 49,202.70 = 9,426.84 : x
  2. Step 2: Convert to fraction form
    32,800.20/49,202.70 = 9,426.84/x
  3. Step 3: Cross multiply
    32,800.20x = 49,202.70 × 9,426.84
  4. Step 4: Simplify right side
    32,800.20x = 463,825,980.47
  5. Step 5: Solve for x
    x = 463,825,980.47/32,800.20
  6. Step 6: Final answer
    x = 14,140.95

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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.