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Finding the Fourth Proportional to 38,305.32, 52,817.75 and 26,971.19

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Solution

The fourth proportional to 38,305.32, 52,817.75 and 26,971.19 is: 37,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,305.32 : 52,817.75 = 26,971.19 : x
  2. Step 2: Convert to fraction form
    38,305.32/52,817.75 = 26,971.19/x
  3. Step 3: Cross multiply
    38,305.32x = 52,817.75 × 26,971.19
  4. Step 4: Simplify right side
    38,305.32x = 1,424,557,770.09
  5. Step 5: Solve for x
    x = 1,424,557,770.09/38,305.32
  6. Step 6: Final answer
    x = 37,189.55

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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.