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Finding the Fourth Proportional to 30,005.64, 44,974.14 and 18,292.84

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Solution

The fourth proportional to 30,005.64, 44,974.14 and 18,292.84 is: 27,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.64 : 44,974.14 = 18,292.84 : x
  2. Step 2: Convert to fraction form
    30,005.64/44,974.14 = 18,292.84/x
  3. Step 3: Cross multiply
    30,005.64x = 44,974.14 × 18,292.84
  4. Step 4: Simplify right side
    30,005.64x = 822,704,747.16
  5. Step 5: Solve for x
    x = 822,704,747.16/30,005.64
  6. Step 6: Final answer
    x = 27,418.34

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