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Finding the Fourth Proportional to 32,584.88, 48,873.24 and 10,396.42

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Solution

The fourth proportional to 32,584.88, 48,873.24 and 10,396.42 is: 15,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.88 : 48,873.24 = 10,396.42 : x
  2. Step 2: Convert to fraction form
    32,584.88/48,873.24 = 10,396.42/x
  3. Step 3: Cross multiply
    32,584.88x = 48,873.24 × 10,396.42
  4. Step 4: Simplify right side
    32,584.88x = 508,106,607.62
  5. Step 5: Solve for x
    x = 508,106,607.62/32,584.88
  6. Step 6: Final answer
    x = 15,593.32

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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.