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Finding the Fourth Proportional to 35,999.40, 49,660.74 and 29,548.20

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Solution

The fourth proportional to 35,999.40, 49,660.74 and 29,548.20 is: 40,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,999.40 : 49,660.74 = 29,548.20 : x
  2. Step 2: Convert to fraction form
    35,999.40/49,660.74 = 29,548.20/x
  3. Step 3: Cross multiply
    35,999.40x = 49,660.74 × 29,548.20
  4. Step 4: Simplify right side
    35,999.40x = 1,467,385,477.67
  5. Step 5: Solve for x
    x = 1,467,385,477.67/35,999.40
  6. Step 6: Final answer
    x = 40,761.39

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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.