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Finding the Fourth Proportional to 30,738.40, 42,418.57 and 17,309.82

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Solution

The fourth proportional to 30,738.40, 42,418.57 and 17,309.82 is: 23,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.40 : 42,418.57 = 17,309.82 : x
  2. Step 2: Convert to fraction form
    30,738.40/42,418.57 = 17,309.82/x
  3. Step 3: Cross multiply
    30,738.40x = 42,418.57 × 17,309.82
  4. Step 4: Simplify right side
    30,738.40x = 734,257,811.36
  5. Step 5: Solve for x
    x = 734,257,811.36/30,738.40
  6. Step 6: Final answer
    x = 23,887.31

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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.