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Finding the Fourth Proportional to 27,857.42, 41,792.62 and 15,374.44

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Solution

The fourth proportional to 27,857.42, 41,792.62 and 15,374.44 is: 23,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.42 : 41,792.62 = 15,374.44 : x
  2. Step 2: Convert to fraction form
    27,857.42/41,792.62 = 15,374.44/x
  3. Step 3: Cross multiply
    27,857.42x = 41,792.62 × 15,374.44
  4. Step 4: Simplify right side
    27,857.42x = 642,538,128.63
  5. Step 5: Solve for x
    x = 642,538,128.63/27,857.42
  6. Step 6: Final answer
    x = 23,065.24

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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.