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Finding the Fourth Proportional to 30,733.44, 42,416.37 and 17,310.12

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Solution

The fourth proportional to 30,733.44, 42,416.37 and 17,310.12 is: 23,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.44 : 42,416.37 = 17,310.12 : x
  2. Step 2: Convert to fraction form
    30,733.44/42,416.37 = 17,310.12/x
  3. Step 3: Cross multiply
    30,733.44x = 42,416.37 × 17,310.12
  4. Step 4: Simplify right side
    30,733.44x = 734,232,454.66
  5. Step 5: Solve for x
    x = 734,232,454.66/30,733.44
  6. Step 6: Final answer
    x = 23,890.34

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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.