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Finding the Fourth Proportional to 32,815.40, 49,218.30 and 9,439.40

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Solution

The fourth proportional to 32,815.40, 49,218.30 and 9,439.40 is: 14,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815.40 : 49,218.30 = 9,439.40 : x
  2. Step 2: Convert to fraction form
    32,815.40/49,218.30 = 9,439.40/x
  3. Step 3: Cross multiply
    32,815.40x = 49,218.30 × 9,439.40
  4. Step 4: Simplify right side
    32,815.40x = 464,591,221.02
  5. Step 5: Solve for x
    x = 464,591,221.02/32,815.40
  6. Step 6: Final answer
    x = 14,157.72

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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.