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Finding the Fourth Proportional to 38,272.72, 52,842.13 and 34,227

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Solution

The fourth proportional to 38,272.72, 52,842.13 and 34,227 is: 47,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.72 : 52,842.13 = 34,227 : x
  2. Step 2: Convert to fraction form
    38,272.72/52,842.13 = 34,227/x
  3. Step 3: Cross multiply
    38,272.72x = 52,842.13 × 34,227
  4. Step 4: Simplify right side
    38,272.72x = 1,808,627,583.51
  5. Step 5: Solve for x
    x = 1,808,627,583.51/38,272.72
  6. Step 6: Final answer
    x = 47,256.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.