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Finding the Fourth Proportional to 35,850.86, 49,454.01 and 21,506.87

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Solution

The fourth proportional to 35,850.86, 49,454.01 and 21,506.87 is: 29,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,850.86 : 49,454.01 = 21,506.87 : x
  2. Step 2: Convert to fraction form
    35,850.86/49,454.01 = 21,506.87/x
  3. Step 3: Cross multiply
    35,850.86x = 49,454.01 × 21,506.87
  4. Step 4: Simplify right side
    35,850.86x = 1,063,601,087.68
  5. Step 5: Solve for x
    x = 1,063,601,087.68/35,850.86
  6. Step 6: Final answer
    x = 29,667.38

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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.