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Finding the Fourth Proportional to 38,272.36, 52,816.74 and 21,505.64

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Solution

The fourth proportional to 38,272.36, 52,816.74 and 21,505.64 is: 29,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.36 : 52,816.74 = 21,505.64 : x
  2. Step 2: Convert to fraction form
    38,272.36/52,816.74 = 21,505.64/x
  3. Step 3: Cross multiply
    38,272.36x = 52,816.74 × 21,505.64
  4. Step 4: Simplify right side
    38,272.36x = 1,135,857,796.41
  5. Step 5: Solve for x
    x = 1,135,857,796.41/38,272.36
  6. Step 6: Final answer
    x = 29,678.28

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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.