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Finding the Fourth Proportional to 32,801.30, 49,189.85 and 11,735.63

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Solution

The fourth proportional to 32,801.30, 49,189.85 and 11,735.63 is: 17,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.30 : 49,189.85 = 11,735.63 : x
  2. Step 2: Convert to fraction form
    32,801.30/49,189.85 = 11,735.63/x
  3. Step 3: Cross multiply
    32,801.30x = 49,189.85 × 11,735.63
  4. Step 4: Simplify right side
    32,801.30x = 577,273,879.36
  5. Step 5: Solve for x
    x = 577,273,879.36/32,801.30
  6. Step 6: Final answer
    x = 17,599.12

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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.