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Finding the Fourth Proportional to 32,228, 48,342 and 11,452.32

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Solution

The fourth proportional to 32,228, 48,342 and 11,452.32 is: 17,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228 : 48,342 = 11,452.32 : x
  2. Step 2: Convert to fraction form
    32,228/48,342 = 11,452.32/x
  3. Step 3: Cross multiply
    32,228x = 48,342 × 11,452.32
  4. Step 4: Simplify right side
    32,228x = 553,628,053.44
  5. Step 5: Solve for x
    x = 553,628,053.44/32,228
  6. Step 6: Final answer
    x = 17,178.48

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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.