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Finding the Fourth Proportional to 30,769.48, 42,461.92 and 16,622.34

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Solution

The fourth proportional to 30,769.48, 42,461.92 and 16,622.34 is: 22,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.48 : 42,461.92 = 16,622.34 : x
  2. Step 2: Convert to fraction form
    30,769.48/42,461.92 = 16,622.34/x
  3. Step 3: Cross multiply
    30,769.48x = 42,461.92 × 16,622.34
  4. Step 4: Simplify right side
    30,769.48x = 705,816,471.29
  5. Step 5: Solve for x
    x = 705,816,471.29/30,769.48
  6. Step 6: Final answer
    x = 22,938.85

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