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Finding the Fourth Proportional to 32,464.62, 48,716.37 and 11,689.74

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Solution

The fourth proportional to 32,464.62, 48,716.37 and 11,689.74 is: 17,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.62 : 48,716.37 = 11,689.74 : x
  2. Step 2: Convert to fraction form
    32,464.62/48,716.37 = 11,689.74/x
  3. Step 3: Cross multiply
    32,464.62x = 48,716.37 × 11,689.74
  4. Step 4: Simplify right side
    32,464.62x = 569,481,699.04
  5. Step 5: Solve for x
    x = 569,481,699.04/32,464.62
  6. Step 6: Final answer
    x = 17,541.61

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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.