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Finding the Fourth Proportional to 35,757.78, 49,347.42 and 19,842.36

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Solution

The fourth proportional to 35,757.78, 49,347.42 and 19,842.36 is: 27,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,757.78 : 49,347.42 = 19,842.36 : x
  2. Step 2: Convert to fraction form
    35,757.78/49,347.42 = 19,842.36/x
  3. Step 3: Cross multiply
    35,757.78x = 49,347.42 × 19,842.36
  4. Step 4: Simplify right side
    35,757.78x = 979,169,272.71
  5. Step 5: Solve for x
    x = 979,169,272.71/35,757.78
  6. Step 6: Final answer
    x = 27,383.39

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1.5x scale

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.