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Finding the Fourth Proportional to 35,996.62, 49,709.56 and 27,598.54

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Solution

The fourth proportional to 35,996.62, 49,709.56 and 27,598.54 is: 38,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996.62 : 49,709.56 = 27,598.54 : x
  2. Step 2: Convert to fraction form
    35,996.62/49,709.56 = 27,598.54/x
  3. Step 3: Cross multiply
    35,996.62x = 49,709.56 × 27,598.54
  4. Step 4: Simplify right side
    35,996.62x = 1,371,911,280.04
  5. Step 5: Solve for x
    x = 1,371,911,280.04/35,996.62
  6. Step 6: Final answer
    x = 38,112.22

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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.