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Finding the Fourth Proportional to 35,992.89, 49,671.24 and 20,077

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Solution

The fourth proportional to 35,992.89, 49,671.24 and 20,077 is: 27,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.89 : 49,671.24 = 20,077 : x
  2. Step 2: Convert to fraction form
    35,992.89/49,671.24 = 20,077/x
  3. Step 3: Cross multiply
    35,992.89x = 49,671.24 × 20,077
  4. Step 4: Simplify right side
    35,992.89x = 997,249,485.48
  5. Step 5: Solve for x
    x = 997,249,485.48/35,992.89
  6. Step 6: Final answer
    x = 27,706.85

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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.