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Finding the Fourth Proportional to 35,852.68, 49,456.14 and 29,768.48

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Solution

The fourth proportional to 35,852.68, 49,456.14 and 29,768.48 is: 41,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.68 : 49,456.14 = 29,768.48 : x
  2. Step 2: Convert to fraction form
    35,852.68/49,456.14 = 29,768.48/x
  3. Step 3: Cross multiply
    35,852.68x = 49,456.14 × 29,768.48
  4. Step 4: Simplify right side
    35,852.68x = 1,472,234,114.47
  5. Step 5: Solve for x
    x = 1,472,234,114.47/35,852.68
  6. Step 6: Final answer
    x = 41,063.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.