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Finding the Fourth Proportional to 35,980.23, 49,658.73 and 20,885.43

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Solution

The fourth proportional to 35,980.23, 49,658.73 and 20,885.43 is: 28,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.23 : 49,658.73 = 20,885.43 : x
  2. Step 2: Convert to fraction form
    35,980.23/49,658.73 = 20,885.43/x
  3. Step 3: Cross multiply
    35,980.23x = 49,658.73 × 20,885.43
  4. Step 4: Simplify right side
    35,980.23x = 1,037,143,929.30
  5. Step 5: Solve for x
    x = 1,037,143,929.30/35,980.23
  6. Step 6: Final answer
    x = 28,825.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.