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Finding the Fourth Proportional to 30,735.29, 42,418.74 and 17,309.17

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Solution

The fourth proportional to 30,735.29, 42,418.74 and 17,309.17 is: 23,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.29 : 42,418.74 = 17,309.17 : x
  2. Step 2: Convert to fraction form
    30,735.29/42,418.74 = 17,309.17/x
  3. Step 3: Cross multiply
    30,735.29x = 42,418.74 × 17,309.17
  4. Step 4: Simplify right side
    30,735.29x = 734,233,181.85
  5. Step 5: Solve for x
    x = 734,233,181.85/30,735.29
  6. Step 6: Final answer
    x = 23,888.93

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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.