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Finding the Fourth Proportional to 29,774.32, 41,093.84 and 22,258.32

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Solution

The fourth proportional to 29,774.32, 41,093.84 and 22,258.32 is: 30,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774.32 : 41,093.84 = 22,258.32 : x
  2. Step 2: Convert to fraction form
    29,774.32/41,093.84 = 22,258.32/x
  3. Step 3: Cross multiply
    29,774.32x = 41,093.84 × 22,258.32
  4. Step 4: Simplify right side
    29,774.32x = 914,679,840.75
  5. Step 5: Solve for x
    x = 914,679,840.75/29,774.32
  6. Step 6: Final answer
    x = 30,720.43

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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.