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Finding the Fourth Proportional to 30,769.40, 42,461.80 and 16,622.24

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Solution

The fourth proportional to 30,769.40, 42,461.80 and 16,622.24 is: 22,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.40 : 42,461.80 = 16,622.24 : x
  2. Step 2: Convert to fraction form
    30,769.40/42,461.80 = 16,622.24/x
  3. Step 3: Cross multiply
    30,769.40x = 42,461.80 × 16,622.24
  4. Step 4: Simplify right side
    30,769.40x = 705,810,230.43
  5. Step 5: Solve for x
    x = 705,810,230.43/30,769.40
  6. Step 6: Final answer
    x = 22,938.71

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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.