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Finding the Fourth Proportional to 30,769.90, 42,461.58 and 17,340.92

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Solution

The fourth proportional to 30,769.90, 42,461.58 and 17,340.92 is: 23,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.90 : 42,461.58 = 17,340.92 : x
  2. Step 2: Convert to fraction form
    30,769.90/42,461.58 = 17,340.92/x
  3. Step 3: Cross multiply
    30,769.90x = 42,461.58 × 17,340.92
  4. Step 4: Simplify right side
    30,769.90x = 736,322,861.85
  5. Step 5: Solve for x
    x = 736,322,861.85/30,769.90
  6. Step 6: Final answer
    x = 23,929.97

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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.