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Finding the Fourth Proportional to 35,750.70, 49,335.97 and 19,835.11

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Solution

The fourth proportional to 35,750.70, 49,335.97 and 19,835.11 is: 27,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,750.70 : 49,335.97 = 19,835.11 : x
  2. Step 2: Convert to fraction form
    35,750.70/49,335.97 = 19,835.11/x
  3. Step 3: Cross multiply
    35,750.70x = 49,335.97 × 19,835.11
  4. Step 4: Simplify right side
    35,750.70x = 978,584,515.56
  5. Step 5: Solve for x
    x = 978,584,515.56/35,750.70
  6. Step 6: Final answer
    x = 27,372.46

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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.