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Finding the Fourth Proportional to 35,897.67, 53,871.11 and 12,524.11

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Solution

The fourth proportional to 35,897.67, 53,871.11 and 12,524.11 is: 18,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.67 : 53,871.11 = 12,524.11 : x
  2. Step 2: Convert to fraction form
    35,897.67/53,871.11 = 12,524.11/x
  3. Step 3: Cross multiply
    35,897.67x = 53,871.11 × 12,524.11
  4. Step 4: Simplify right side
    35,897.67x = 674,687,604.09
  5. Step 5: Solve for x
    x = 674,687,604.09/35,897.67
  6. Step 6: Final answer
    x = 18,794.75

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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.