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Finding the Fourth Proportional to 57,005.49, 85,397.52 and 27,444.09

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Solution

The fourth proportional to 57,005.49, 85,397.52 and 27,444.09 is: 41,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005.49 : 85,397.52 = 27,444.09 : x
  2. Step 2: Convert to fraction form
    57,005.49/85,397.52 = 27,444.09/x
  3. Step 3: Cross multiply
    57,005.49x = 85,397.52 × 27,444.09
  4. Step 4: Simplify right side
    57,005.49x = 2,343,657,224.66
  5. Step 5: Solve for x
    x = 2,343,657,224.66/57,005.49
  6. Step 6: Final answer
    x = 41,112.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.