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Finding the Fourth Proportional to 32,375.82, 48,558.06 and 9,004.08

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Solution

The fourth proportional to 32,375.82, 48,558.06 and 9,004.08 is: 13,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.82 : 48,558.06 = 9,004.08 : x
  2. Step 2: Convert to fraction form
    32,375.82/48,558.06 = 9,004.08/x
  3. Step 3: Cross multiply
    32,375.82x = 48,558.06 × 9,004.08
  4. Step 4: Simplify right side
    32,375.82x = 437,220,656.88
  5. Step 5: Solve for x
    x = 437,220,656.88/32,375.82
  6. Step 6: Final answer
    x = 13,504.54

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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.