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Finding the Fourth Proportional to 54,311.49, 74,949.84 and 33,090.84

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Solution

The fourth proportional to 54,311.49, 74,949.84 and 33,090.84 is: 45,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,311.49 : 74,949.84 = 33,090.84 : x
  2. Step 2: Convert to fraction form
    54,311.49/74,949.84 = 33,090.84/x
  3. Step 3: Cross multiply
    54,311.49x = 74,949.84 × 33,090.84
  4. Step 4: Simplify right side
    54,311.49x = 2,480,153,163.47
  5. Step 5: Solve for x
    x = 2,480,153,163.47/54,311.49
  6. Step 6: Final answer
    x = 45,665.35

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1.5x scale

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.