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Finding the Fourth Proportional to 35,821, 53,731.74 and 11,197

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Solution

The fourth proportional to 35,821, 53,731.74 and 11,197 is: 16,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,821 : 53,731.74 = 11,197 : x
  2. Step 2: Convert to fraction form
    35,821/53,731.74 = 11,197/x
  3. Step 3: Cross multiply
    35,821x = 53,731.74 × 11,197
  4. Step 4: Simplify right side
    35,821x = 601,634,292.78
  5. Step 5: Solve for x
    x = 601,634,292.78/35,821
  6. Step 6: Final answer
    x = 16,795.58

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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.