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Finding the Fourth Proportional to 30,719.52, 42,393.10 and 17,291

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Solution

The fourth proportional to 30,719.52, 42,393.10 and 17,291 is: 23,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,719.52 : 42,393.10 = 17,291 : x
  2. Step 2: Convert to fraction form
    30,719.52/42,393.10 = 17,291/x
  3. Step 3: Cross multiply
    30,719.52x = 42,393.10 × 17,291
  4. Step 4: Simplify right side
    30,719.52x = 733,019,092.10
  5. Step 5: Solve for x
    x = 733,019,092.10/30,719.52
  6. Step 6: Final answer
    x = 23,861.67

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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.