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Finding the Fourth Proportional to 35,203.98, 52,813.62 and 11,829.78

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Solution

The fourth proportional to 35,203.98, 52,813.62 and 11,829.78 is: 17,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203.98 : 52,813.62 = 11,829.78 : x
  2. Step 2: Convert to fraction form
    35,203.98/52,813.62 = 11,829.78/x
  3. Step 3: Cross multiply
    35,203.98x = 52,813.62 × 11,829.78
  4. Step 4: Simplify right side
    35,203.98x = 624,773,505.60
  5. Step 5: Solve for x
    x = 624,773,505.60/35,203.98
  6. Step 6: Final answer
    x = 17,747.24

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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.