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Finding the Fourth Proportional to 35,494.72, 53,243.43 and 9,199.54

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Solution

The fourth proportional to 35,494.72, 53,243.43 and 9,199.54 is: 13,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,494.72 : 53,243.43 = 9,199.54 : x
  2. Step 2: Convert to fraction form
    35,494.72/53,243.43 = 9,199.54/x
  3. Step 3: Cross multiply
    35,494.72x = 53,243.43 × 9,199.54
  4. Step 4: Simplify right side
    35,494.72x = 489,815,064.02
  5. Step 5: Solve for x
    x = 489,815,064.02/35,494.72
  6. Step 6: Final answer
    x = 13,799.66

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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.