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Finding the Fourth Proportional to 30,719.92, 42,393.57 and 17,291.37

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Solution

The fourth proportional to 30,719.92, 42,393.57 and 17,291.37 is: 23,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,719.92 : 42,393.57 = 17,291.37 : x
  2. Step 2: Convert to fraction form
    30,719.92/42,393.57 = 17,291.37/x
  3. Step 3: Cross multiply
    30,719.92x = 42,393.57 × 17,291.37
  4. Step 4: Simplify right side
    30,719.92x = 733,042,904.49
  5. Step 5: Solve for x
    x = 733,042,904.49/30,719.92
  6. Step 6: Final answer
    x = 23,862.14

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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.