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Finding the Fourth Proportional to 32,775.90, 49,160.07 and 9,085.20

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Solution

The fourth proportional to 32,775.90, 49,160.07 and 9,085.20 is: 13,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775.90 : 49,160.07 = 9,085.20 : x
  2. Step 2: Convert to fraction form
    32,775.90/49,160.07 = 9,085.20/x
  3. Step 3: Cross multiply
    32,775.90x = 49,160.07 × 9,085.20
  4. Step 4: Simplify right side
    32,775.90x = 446,629,067.96
  5. Step 5: Solve for x
    x = 446,629,067.96/32,775.90
  6. Step 6: Final answer
    x = 13,626.75

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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.