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Finding the Fourth Proportional to 38,704.32, 53,412.77 and 21,937.32

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Solution

The fourth proportional to 38,704.32, 53,412.77 and 21,937.32 is: 30,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.32 : 53,412.77 = 21,937.32 : x
  2. Step 2: Convert to fraction form
    38,704.32/53,412.77 = 21,937.32/x
  3. Step 3: Cross multiply
    38,704.32x = 53,412.77 × 21,937.32
  4. Step 4: Simplify right side
    38,704.32x = 1,171,732,917.89
  5. Step 5: Solve for x
    x = 1,171,732,917.89/38,704.32
  6. Step 6: Final answer
    x = 30,273.96

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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.