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Finding the Fourth Proportional to 45,730.64, 68,604.12 and 16,165.64

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Solution

The fourth proportional to 45,730.64, 68,604.12 and 16,165.64 is: 24,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730.64 : 68,604.12 = 16,165.64 : x
  2. Step 2: Convert to fraction form
    45,730.64/68,604.12 = 16,165.64/x
  3. Step 3: Cross multiply
    45,730.64x = 68,604.12 × 16,165.64
  4. Step 4: Simplify right side
    45,730.64x = 1,109,029,506.44
  5. Step 5: Solve for x
    x = 1,109,029,506.44/45,730.64
  6. Step 6: Final answer
    x = 24,251.34

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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.