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Finding the Fourth Proportional to 30,914.79, 42,650.24 and 20,172.23

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Solution

The fourth proportional to 30,914.79, 42,650.24 and 20,172.23 is: 27,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.79 : 42,650.24 = 20,172.23 : x
  2. Step 2: Convert to fraction form
    30,914.79/42,650.24 = 20,172.23/x
  3. Step 3: Cross multiply
    30,914.79x = 42,650.24 × 20,172.23
  4. Step 4: Simplify right side
    30,914.79x = 860,350,450.84
  5. Step 5: Solve for x
    x = 860,350,450.84/30,914.79
  6. Step 6: Final answer
    x = 27,829.74

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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.