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Finding the Fourth Proportional to 30,762.27, 42,451.43 and 17,334.90

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Solution

The fourth proportional to 30,762.27, 42,451.43 and 17,334.90 is: 23,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.27 : 42,451.43 = 17,334.90 : x
  2. Step 2: Convert to fraction form
    30,762.27/42,451.43 = 17,334.90/x
  3. Step 3: Cross multiply
    30,762.27x = 42,451.43 × 17,334.90
  4. Step 4: Simplify right side
    30,762.27x = 735,891,207.23
  5. Step 5: Solve for x
    x = 735,891,207.23/30,762.27
  6. Step 6: Final answer
    x = 23,921.88

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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.