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Finding the Fourth Proportional to 32,375.83, 48,564.06 and 9,004.09

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Solution

The fourth proportional to 32,375.83, 48,564.06 and 9,004.09 is: 13,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.83 : 48,564.06 = 9,004.09 : x
  2. Step 2: Convert to fraction form
    32,375.83/48,564.06 = 9,004.09/x
  3. Step 3: Cross multiply
    32,375.83x = 48,564.06 × 9,004.09
  4. Step 4: Simplify right side
    32,375.83x = 437,275,167.01
  5. Step 5: Solve for x
    x = 437,275,167.01/32,375.83
  6. Step 6: Final answer
    x = 13,506.22

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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.