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Finding the Fourth Proportional to 32,964.40, 49,422.30 and 14,229.10

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Solution

The fourth proportional to 32,964.40, 49,422.30 and 14,229.10 is: 21,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.40 : 49,422.30 = 14,229.10 : x
  2. Step 2: Convert to fraction form
    32,964.40/49,422.30 = 14,229.10/x
  3. Step 3: Cross multiply
    32,964.40x = 49,422.30 × 14,229.10
  4. Step 4: Simplify right side
    32,964.40x = 703,234,848.93
  5. Step 5: Solve for x
    x = 703,234,848.93/32,964.40
  6. Step 6: Final answer
    x = 21,333.16

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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.