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Finding the Fourth Proportional to 30,851.49, 42,574.75 and 17,422.50

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Solution

The fourth proportional to 30,851.49, 42,574.75 and 17,422.50 is: 24,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.49 : 42,574.75 = 17,422.50 : x
  2. Step 2: Convert to fraction form
    30,851.49/42,574.75 = 17,422.50/x
  3. Step 3: Cross multiply
    30,851.49x = 42,574.75 × 17,422.50
  4. Step 4: Simplify right side
    30,851.49x = 741,758,581.88
  5. Step 5: Solve for x
    x = 741,758,581.88/30,851.49
  6. Step 6: Final answer
    x = 24,042.88

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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.