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Finding the Fourth Proportional to 32,584.57, 48,879.71 and 9,211.01

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Solution

The fourth proportional to 32,584.57, 48,879.71 and 9,211.01 is: 13,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.57 : 48,879.71 = 9,211.01 : x
  2. Step 2: Convert to fraction form
    32,584.57/48,879.71 = 9,211.01/x
  3. Step 3: Cross multiply
    32,584.57x = 48,879.71 × 9,211.01
  4. Step 4: Simplify right side
    32,584.57x = 450,231,241.69
  5. Step 5: Solve for x
    x = 450,231,241.69/32,584.57
  6. Step 6: Final answer
    x = 13,817.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.