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Finding the Fourth Proportional to 27,368.24, 37,767.42 and 15,431.48

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Solution

The fourth proportional to 27,368.24, 37,767.42 and 15,431.48 is: 21,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,368.24 : 37,767.42 = 15,431.48 : x
  2. Step 2: Convert to fraction form
    27,368.24/37,767.42 = 15,431.48/x
  3. Step 3: Cross multiply
    27,368.24x = 37,767.42 × 15,431.48
  4. Step 4: Simplify right side
    27,368.24x = 582,807,186.38
  5. Step 5: Solve for x
    x = 582,807,186.38/27,368.24
  6. Step 6: Final answer
    x = 21,295.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.