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Finding the Fourth Proportional to 74,538.72, 111,827.52 and 27,792

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Solution

The fourth proportional to 74,538.72, 111,827.52 and 27,792 is: 41,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,538.72 : 111,827.52 = 27,792 : x
  2. Step 2: Convert to fraction form
    74,538.72/111,827.52 = 27,792/x
  3. Step 3: Cross multiply
    74,538.72x = 111,827.52 × 27,792
  4. Step 4: Simplify right side
    74,538.72x = 3,107,910,435.84
  5. Step 5: Solve for x
    x = 3,107,910,435.84/74,538.72
  6. Step 6: Final answer
    x = 41,695.25

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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.