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Finding the Fourth Proportional to 30,741.65, 42,418.97 and 17,310.23

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Solution

The fourth proportional to 30,741.65, 42,418.97 and 17,310.23 is: 23,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.65 : 42,418.97 = 17,310.23 : x
  2. Step 2: Convert to fraction form
    30,741.65/42,418.97 = 17,310.23/x
  3. Step 3: Cross multiply
    30,741.65x = 42,418.97 × 17,310.23
  4. Step 4: Simplify right side
    30,741.65x = 734,282,127.06
  5. Step 5: Solve for x
    x = 734,282,127.06/30,741.65
  6. Step 6: Final answer
    x = 23,885.58

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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.