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Finding the Fourth Proportional to 30,847.90, 42,568.37 and 17,421.88

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Solution

The fourth proportional to 30,847.90, 42,568.37 and 17,421.88 is: 24,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.90 : 42,568.37 = 17,421.88 : x
  2. Step 2: Convert to fraction form
    30,847.90/42,568.37 = 17,421.88/x
  3. Step 3: Cross multiply
    30,847.90x = 42,568.37 × 17,421.88
  4. Step 4: Simplify right side
    30,847.90x = 741,621,033.94
  5. Step 5: Solve for x
    x = 741,621,033.94/30,847.90
  6. Step 6: Final answer
    x = 24,041.22

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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.