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Finding the Fourth Proportional to 30,029.64, 41,441.42 and 17,454.40

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Solution

The fourth proportional to 30,029.64, 41,441.42 and 17,454.40 is: 24,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,029.64 : 41,441.42 = 17,454.40 : x
  2. Step 2: Convert to fraction form
    30,029.64/41,441.42 = 17,454.40/x
  3. Step 3: Cross multiply
    30,029.64x = 41,441.42 × 17,454.40
  4. Step 4: Simplify right side
    30,029.64x = 723,335,121.25
  5. Step 5: Solve for x
    x = 723,335,121.25/30,029.64
  6. Step 6: Final answer
    x = 24,087.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.