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Finding the Fourth Proportional to 32,801.61, 49,209.63 and 10,617.24

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Solution

The fourth proportional to 32,801.61, 49,209.63 and 10,617.24 is: 15,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.61 : 49,209.63 = 10,617.24 : x
  2. Step 2: Convert to fraction form
    32,801.61/49,209.63 = 10,617.24/x
  3. Step 3: Cross multiply
    32,801.61x = 49,209.63 × 10,617.24
  4. Step 4: Simplify right side
    32,801.61x = 522,470,452.02
  5. Step 5: Solve for x
    x = 522,470,452.02/32,801.61
  6. Step 6: Final answer
    x = 15,928.20

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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.