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Finding the Fourth Proportional to 38,816.20, 53,536.02 and 32,864.20

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Solution

The fourth proportional to 38,816.20, 53,536.02 and 32,864.20 is: 45,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816.20 : 53,536.02 = 32,864.20 : x
  2. Step 2: Convert to fraction form
    38,816.20/53,536.02 = 32,864.20/x
  3. Step 3: Cross multiply
    38,816.20x = 53,536.02 × 32,864.20
  4. Step 4: Simplify right side
    38,816.20x = 1,759,418,468.48
  5. Step 5: Solve for x
    x = 1,759,418,468.48/38,816.20
  6. Step 6: Final answer
    x = 45,326.91

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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.