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Finding the Fourth Proportional to 35,994.89, 49,674 and 20,079

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Solution

The fourth proportional to 35,994.89, 49,674 and 20,079 is: 27,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,994.89 : 49,674 = 20,079 : x
  2. Step 2: Convert to fraction form
    35,994.89/49,674 = 20,079/x
  3. Step 3: Cross multiply
    35,994.89x = 49,674 × 20,079
  4. Step 4: Simplify right side
    35,994.89x = 997,404,246
  5. Step 5: Solve for x
    x = 997,404,246/35,994.89
  6. Step 6: Final answer
    x = 27,709.61

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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.