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Finding the Fourth Proportional to 30,807.81, 42,519.16 and 17,380.30

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Solution

The fourth proportional to 30,807.81, 42,519.16 and 17,380.30 is: 23,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.81 : 42,519.16 = 17,380.30 : x
  2. Step 2: Convert to fraction form
    30,807.81/42,519.16 = 17,380.30/x
  3. Step 3: Cross multiply
    30,807.81x = 42,519.16 × 17,380.30
  4. Step 4: Simplify right side
    30,807.81x = 738,995,756.55
  5. Step 5: Solve for x
    x = 738,995,756.55/30,807.81
  6. Step 6: Final answer
    x = 23,987.29

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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.