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Finding the Fourth Proportional to 48,448.34, 66,843.28 and 29,322

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Solution

The fourth proportional to 48,448.34, 66,843.28 and 29,322 is: 40,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448.34 : 66,843.28 = 29,322 : x
  2. Step 2: Convert to fraction form
    48,448.34/66,843.28 = 29,322/x
  3. Step 3: Cross multiply
    48,448.34x = 66,843.28 × 29,322
  4. Step 4: Simplify right side
    48,448.34x = 1,959,978,656.16
  5. Step 5: Solve for x
    x = 1,959,978,656.16/48,448.34
  6. Step 6: Final answer
    x = 40,455.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.