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Finding the Fourth Proportional to 45,671.94, 68,506.36 and 16,089

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Solution

The fourth proportional to 45,671.94, 68,506.36 and 16,089 is: 24,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,671.94 : 68,506.36 = 16,089 : x
  2. Step 2: Convert to fraction form
    45,671.94/68,506.36 = 16,089/x
  3. Step 3: Cross multiply
    45,671.94x = 68,506.36 × 16,089
  4. Step 4: Simplify right side
    45,671.94x = 1,102,198,826.04
  5. Step 5: Solve for x
    x = 1,102,198,826.04/45,671.94
  6. Step 6: Final answer
    x = 24,132.95

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Why These Related Problems?

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