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Finding the Fourth Proportional to 32,224, 48,336 and 11,448.32

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Solution

The fourth proportional to 32,224, 48,336 and 11,448.32 is: 17,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224 : 48,336 = 11,448.32 : x
  2. Step 2: Convert to fraction form
    32,224/48,336 = 11,448.32/x
  3. Step 3: Cross multiply
    32,224x = 48,336 × 11,448.32
  4. Step 4: Simplify right side
    32,224x = 553,365,995.52
  5. Step 5: Solve for x
    x = 553,365,995.52/32,224
  6. Step 6: Final answer
    x = 17,172.48

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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.