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Finding the Fourth Proportional to 30,740.72, 42,410.79 and 20,136.20

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Solution

The fourth proportional to 30,740.72, 42,410.79 and 20,136.20 is: 27,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.72 : 42,410.79 = 20,136.20 : x
  2. Step 2: Convert to fraction form
    30,740.72/42,410.79 = 20,136.20/x
  3. Step 3: Cross multiply
    30,740.72x = 42,410.79 × 20,136.20
  4. Step 4: Simplify right side
    30,740.72x = 853,991,937.54
  5. Step 5: Solve for x
    x = 853,991,937.54/30,740.72
  6. Step 6: Final answer
    x = 27,780.48

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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.