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Finding the Fourth Proportional to 49,616.45, 74,434.92 and 16,338.50

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Solution

The fourth proportional to 49,616.45, 74,434.92 and 16,338.50 is: 24,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,616.45 : 74,434.92 = 16,338.50 : x
  2. Step 2: Convert to fraction form
    49,616.45/74,434.92 = 16,338.50/x
  3. Step 3: Cross multiply
    49,616.45x = 74,434.92 × 16,338.50
  4. Step 4: Simplify right side
    49,616.45x = 1,216,154,940.42
  5. Step 5: Solve for x
    x = 1,216,154,940.42/49,616.45
  6. Step 6: Final answer
    x = 24,511.12

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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.