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Finding the Fourth Proportional to 29,774.24, 41,084.16 and 19,178.24

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Solution

The fourth proportional to 29,774.24, 41,084.16 and 19,178.24 is: 26,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774.24 : 41,084.16 = 19,178.24 : x
  2. Step 2: Convert to fraction form
    29,774.24/41,084.16 = 19,178.24/x
  3. Step 3: Cross multiply
    29,774.24x = 41,084.16 × 19,178.24
  4. Step 4: Simplify right side
    29,774.24x = 787,921,880.68
  5. Step 5: Solve for x
    x = 787,921,880.68/29,774.24
  6. Step 6: Final answer
    x = 26,463.21

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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.