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Finding the Fourth Proportional to 30,476.25, 42,066.24 and 17,735.19

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Solution

The fourth proportional to 30,476.25, 42,066.24 and 17,735.19 is: 24,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.25 : 42,066.24 = 17,735.19 : x
  2. Step 2: Convert to fraction form
    30,476.25/42,066.24 = 17,735.19/x
  3. Step 3: Cross multiply
    30,476.25x = 42,066.24 × 17,735.19
  4. Step 4: Simplify right side
    30,476.25x = 746,052,758.99
  5. Step 5: Solve for x
    x = 746,052,758.99/30,476.25
  6. Step 6: Final answer
    x = 24,479.81

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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.