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Finding the Fourth Proportional to 54,322.74, 74,965.37 and 33,102.09

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Solution

The fourth proportional to 54,322.74, 74,965.37 and 33,102.09 is: 45,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,322.74 : 74,965.37 = 33,102.09 : x
  2. Step 2: Convert to fraction form
    54,322.74/74,965.37 = 33,102.09/x
  3. Step 3: Cross multiply
    54,322.74x = 74,965.37 × 33,102.09
  4. Step 4: Simplify right side
    54,322.74x = 2,481,510,259.11
  5. Step 5: Solve for x
    x = 2,481,510,259.11/54,322.74
  6. Step 6: Final answer
    x = 45,680.87

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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.