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Finding the Fourth Proportional to 32,962.67, 49,452.39 and 9,589.10

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Solution

The fourth proportional to 32,962.67, 49,452.39 and 9,589.10 is: 14,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.67 : 49,452.39 = 9,589.10 : x
  2. Step 2: Convert to fraction form
    32,962.67/49,452.39 = 9,589.10/x
  3. Step 3: Cross multiply
    32,962.67x = 49,452.39 × 9,589.10
  4. Step 4: Simplify right side
    32,962.67x = 474,203,665.69
  5. Step 5: Solve for x
    x = 474,203,665.69/32,962.67
  6. Step 6: Final answer
    x = 14,386.08

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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.