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Finding the Fourth Proportional to 32,605.44, 48,915.84 and 9,231.36

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Solution

The fourth proportional to 32,605.44, 48,915.84 and 9,231.36 is: 13,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.44 : 48,915.84 = 9,231.36 : x
  2. Step 2: Convert to fraction form
    32,605.44/48,915.84 = 9,231.36/x
  3. Step 3: Cross multiply
    32,605.44x = 48,915.84 × 9,231.36
  4. Step 4: Simplify right side
    32,605.44x = 451,559,728.74
  5. Step 5: Solve for x
    x = 451,559,728.74/32,605.44
  6. Step 6: Final answer
    x = 13,849.21

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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.