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Finding the Fourth Proportional to 27,093, 40,602.60 and 15,252.42

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Solution

The fourth proportional to 27,093, 40,602.60 and 15,252.42 is: 22,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,093 : 40,602.60 = 15,252.42 : x
  2. Step 2: Convert to fraction form
    27,093/40,602.60 = 15,252.42/x
  3. Step 3: Cross multiply
    27,093x = 40,602.60 × 15,252.42
  4. Step 4: Simplify right side
    27,093x = 619,287,908.29
  5. Step 5: Solve for x
    x = 619,287,908.29/27,093
  6. Step 6: Final answer
    x = 22,857.86

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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.