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Finding the Fourth Proportional to 30,809.14, 42,516.42 and 16,661.95

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Solution

The fourth proportional to 30,809.14, 42,516.42 and 16,661.95 is: 22,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.14 : 42,516.42 = 16,661.95 : x
  2. Step 2: Convert to fraction form
    30,809.14/42,516.42 = 16,661.95/x
  3. Step 3: Cross multiply
    30,809.14x = 42,516.42 × 16,661.95
  4. Step 4: Simplify right side
    30,809.14x = 708,406,251.64
  5. Step 5: Solve for x
    x = 708,406,251.64/30,809.14
  6. Step 6: Final answer
    x = 22,993.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.