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Finding the Fourth Proportional to 32,704.43, 49,047.87 and 9,006.34

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Solution

The fourth proportional to 32,704.43, 49,047.87 and 9,006.34 is: 13,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,704.43 : 49,047.87 = 9,006.34 : x
  2. Step 2: Convert to fraction form
    32,704.43/49,047.87 = 9,006.34/x
  3. Step 3: Cross multiply
    32,704.43x = 49,047.87 × 9,006.34
  4. Step 4: Simplify right side
    32,704.43x = 441,741,637.10
  5. Step 5: Solve for x
    x = 441,741,637.10/32,704.43
  6. Step 6: Final answer
    x = 13,507.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.