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Finding the Fourth Proportional to 35,493.72, 53,241.93 and 9,198.54

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Solution

The fourth proportional to 35,493.72, 53,241.93 and 9,198.54 is: 13,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493.72 : 53,241.93 = 9,198.54 : x
  2. Step 2: Convert to fraction form
    35,493.72/53,241.93 = 9,198.54/x
  3. Step 3: Cross multiply
    35,493.72x = 53,241.93 × 9,198.54
  4. Step 4: Simplify right side
    35,493.72x = 489,748,022.78
  5. Step 5: Solve for x
    x = 489,748,022.78/35,493.72
  6. Step 6: Final answer
    x = 13,798.16

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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.