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Finding the Fourth Proportional to 27,109.59, 37,410.86 and 15,172.92

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Solution

The fourth proportional to 27,109.59, 37,410.86 and 15,172.92 is: 20,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.59 : 37,410.86 = 15,172.92 : x
  2. Step 2: Convert to fraction form
    27,109.59/37,410.86 = 15,172.92/x
  3. Step 3: Cross multiply
    27,109.59x = 37,410.86 × 15,172.92
  4. Step 4: Simplify right side
    27,109.59x = 567,632,023.84
  5. Step 5: Solve for x
    x = 567,632,023.84/27,109.59
  6. Step 6: Final answer
    x = 20,938.42

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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.