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Finding the Fourth Proportional to 30,792.72, 46,099.11 and 27,837.99

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Solution

The fourth proportional to 30,792.72, 46,099.11 and 27,837.99 is: 41,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.72 : 46,099.11 = 27,837.99 : x
  2. Step 2: Convert to fraction form
    30,792.72/46,099.11 = 27,837.99/x
  3. Step 3: Cross multiply
    30,792.72x = 46,099.11 × 27,837.99
  4. Step 4: Simplify right side
    30,792.72x = 1,283,306,667.58
  5. Step 5: Solve for x
    x = 1,283,306,667.58/30,792.72
  6. Step 6: Final answer
    x = 41,675.65

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Why These Related Problems?

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