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Finding the Fourth Proportional to 30,411.84, 41,969.16 and 19,081.92

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Solution

The fourth proportional to 30,411.84, 41,969.16 and 19,081.92 is: 26,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.84 : 41,969.16 = 19,081.92 : x
  2. Step 2: Convert to fraction form
    30,411.84/41,969.16 = 19,081.92/x
  3. Step 3: Cross multiply
    30,411.84x = 41,969.16 × 19,081.92
  4. Step 4: Simplify right side
    30,411.84x = 800,852,153.59
  5. Step 5: Solve for x
    x = 800,852,153.59/30,411.84
  6. Step 6: Final answer
    x = 26,333.56

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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.