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Finding the Fourth Proportional to 30,769.27, 42,461.63 and 16,622.11

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Solution

The fourth proportional to 30,769.27, 42,461.63 and 16,622.11 is: 22,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.27 : 42,461.63 = 16,622.11 : x
  2. Step 2: Convert to fraction form
    30,769.27/42,461.63 = 16,622.11/x
  3. Step 3: Cross multiply
    30,769.27x = 42,461.63 × 16,622.11
  4. Step 4: Simplify right side
    30,769.27x = 705,801,695.37
  5. Step 5: Solve for x
    x = 705,801,695.37/30,769.27
  6. Step 6: Final answer
    x = 22,938.53

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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.