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Finding the Fourth Proportional to 35,994, 49,671.78 and 20,079.45

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Solution

The fourth proportional to 35,994, 49,671.78 and 20,079.45 is: 27,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,994 : 49,671.78 = 20,079.45 : x
  2. Step 2: Convert to fraction form
    35,994/49,671.78 = 20,079.45/x
  3. Step 3: Cross multiply
    35,994x = 49,671.78 × 20,079.45
  4. Step 4: Simplify right side
    35,994x = 997,382,022.92
  5. Step 5: Solve for x
    x = 997,382,022.92/35,994
  6. Step 6: Final answer
    x = 27,709.67

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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.