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Finding the Fourth Proportional to 32,694.62, 49,043.70 and 10,506.29

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Solution

The fourth proportional to 32,694.62, 49,043.70 and 10,506.29 is: 15,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.62 : 49,043.70 = 10,506.29 : x
  2. Step 2: Convert to fraction form
    32,694.62/49,043.70 = 10,506.29/x
  3. Step 3: Cross multiply
    32,694.62x = 49,043.70 × 10,506.29
  4. Step 4: Simplify right side
    32,694.62x = 515,267,089.65
  5. Step 5: Solve for x
    x = 515,267,089.65/32,694.62
  6. Step 6: Final answer
    x = 15,760.00

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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.