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Finding the Fourth Proportional to 30,851.57, 42,572.75 and 17,424.16

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Solution

The fourth proportional to 30,851.57, 42,572.75 and 17,424.16 is: 24,043.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.57 : 42,572.75 = 17,424.16 : x
  2. Step 2: Convert to fraction form
    30,851.57/42,572.75 = 17,424.16/x
  3. Step 3: Cross multiply
    30,851.57x = 42,572.75 × 17,424.16
  4. Step 4: Simplify right side
    30,851.57x = 741,794,214.09
  5. Step 5: Solve for x
    x = 741,794,214.09/30,851.57
  6. Step 6: Final answer
    x = 24,043.97

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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.