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Finding the Fourth Proportional to 30,616.93, 45,942.41 and 16,576.75

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Solution

The fourth proportional to 30,616.93, 45,942.41 and 16,576.75 is: 24,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.93 : 45,942.41 = 16,576.75 : x
  2. Step 2: Convert to fraction form
    30,616.93/45,942.41 = 16,576.75/x
  3. Step 3: Cross multiply
    30,616.93x = 45,942.41 × 16,576.75
  4. Step 4: Simplify right side
    30,616.93x = 761,575,762.08
  5. Step 5: Solve for x
    x = 761,575,762.08/30,616.93
  6. Step 6: Final answer
    x = 24,874.33

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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.