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Finding the Fourth Proportional to 30,747.72, 42,435.93 and 17,321.64

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Solution

The fourth proportional to 30,747.72, 42,435.93 and 17,321.64 is: 23,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747.72 : 42,435.93 = 17,321.64 : x
  2. Step 2: Convert to fraction form
    30,747.72/42,435.93 = 17,321.64/x
  3. Step 3: Cross multiply
    30,747.72x = 42,435.93 × 17,321.64
  4. Step 4: Simplify right side
    30,747.72x = 735,059,902.53
  5. Step 5: Solve for x
    x = 735,059,902.53/30,747.72
  6. Step 6: Final answer
    x = 23,906.16

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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.