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Finding the Fourth Proportional to 35,581.82, 49,105.45 and 19,665.93

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Solution

The fourth proportional to 35,581.82, 49,105.45 and 19,665.93 is: 27,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,581.82 : 49,105.45 = 19,665.93 : x
  2. Step 2: Convert to fraction form
    35,581.82/49,105.45 = 19,665.93/x
  3. Step 3: Cross multiply
    35,581.82x = 49,105.45 × 19,665.93
  4. Step 4: Simplify right side
    35,581.82x = 965,704,342.32
  5. Step 5: Solve for x
    x = 965,704,342.32/35,581.82
  6. Step 6: Final answer
    x = 27,140.39

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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.