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Finding the Fourth Proportional to 30,412.40, 41,969.76 and 19,082.33

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Solution

The fourth proportional to 30,412.40, 41,969.76 and 19,082.33 is: 26,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.40 : 41,969.76 = 19,082.33 : x
  2. Step 2: Convert to fraction form
    30,412.40/41,969.76 = 19,082.33/x
  3. Step 3: Cross multiply
    30,412.40x = 41,969.76 × 19,082.33
  4. Step 4: Simplify right side
    30,412.40x = 800,880,810.34
  5. Step 5: Solve for x
    x = 800,880,810.34/30,412.40
  6. Step 6: Final answer
    x = 26,334.02

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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.