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Finding the Fourth Proportional to 30,896.96, 42,638.10 and 16,750.04

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Solution

The fourth proportional to 30,896.96, 42,638.10 and 16,750.04 is: 23,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.96 : 42,638.10 = 16,750.04 : x
  2. Step 2: Convert to fraction form
    30,896.96/42,638.10 = 16,750.04/x
  3. Step 3: Cross multiply
    30,896.96x = 42,638.10 × 16,750.04
  4. Step 4: Simplify right side
    30,896.96x = 714,189,880.52
  5. Step 5: Solve for x
    x = 714,189,880.52/30,896.96
  6. Step 6: Final answer
    x = 23,115.22

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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.