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Finding the Fourth Proportional to 27,129.82, 37,442.70 and 15,799.51

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Solution

The fourth proportional to 27,129.82, 37,442.70 and 15,799.51 is: 21,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.82 : 37,442.70 = 15,799.51 : x
  2. Step 2: Convert to fraction form
    27,129.82/37,442.70 = 15,799.51/x
  3. Step 3: Cross multiply
    27,129.82x = 37,442.70 × 15,799.51
  4. Step 4: Simplify right side
    27,129.82x = 591,576,313.08
  5. Step 5: Solve for x
    x = 591,576,313.08/27,129.82
  6. Step 6: Final answer
    x = 21,805.39

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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.