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Finding the Fourth Proportional to 77,993.84, 117,003 and 33,633.20

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Solution

The fourth proportional to 77,993.84, 117,003 and 33,633.20 is: 50,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,993.84 : 117,003 = 33,633.20 : x
  2. Step 2: Convert to fraction form
    77,993.84/117,003 = 33,633.20/x
  3. Step 3: Cross multiply
    77,993.84x = 117,003 × 33,633.20
  4. Step 4: Simplify right side
    77,993.84x = 3,935,185,299.60
  5. Step 5: Solve for x
    x = 3,935,185,299.60/77,993.84
  6. Step 6: Final answer
    x = 50,455.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.