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Finding the Fourth Proportional to 35,791.74, 53,694.90 and 13,600.98

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Solution

The fourth proportional to 35,791.74, 53,694.90 and 13,600.98 is: 20,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,791.74 : 53,694.90 = 13,600.98 : x
  2. Step 2: Convert to fraction form
    35,791.74/53,694.90 = 13,600.98/x
  3. Step 3: Cross multiply
    35,791.74x = 53,694.90 × 13,600.98
  4. Step 4: Simplify right side
    35,791.74x = 730,303,261.00
  5. Step 5: Solve for x
    x = 730,303,261.00/35,791.74
  6. Step 6: Final answer
    x = 20,404.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.