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Finding the Fourth Proportional to 38,997, 53,816.58 and 27,838.44

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Solution

The fourth proportional to 38,997, 53,816.58 and 27,838.44 is: 38,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997 : 53,816.58 = 27,838.44 : x
  2. Step 2: Convert to fraction form
    38,997/53,816.58 = 27,838.44/x
  3. Step 3: Cross multiply
    38,997x = 53,816.58 × 27,838.44
  4. Step 4: Simplify right side
    38,997x = 1,498,169,633.34
  5. Step 5: Solve for x
    x = 1,498,169,633.34/38,997
  6. Step 6: Final answer
    x = 38,417.56

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1.5x scale

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.