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Finding the Fourth Proportional to 33,617, 46,391.46 and 19,474.40

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Solution

The fourth proportional to 33,617, 46,391.46 and 19,474.40 is: 26,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,617 : 46,391.46 = 19,474.40 : x
  2. Step 2: Convert to fraction form
    33,617/46,391.46 = 19,474.40/x
  3. Step 3: Cross multiply
    33,617x = 46,391.46 × 19,474.40
  4. Step 4: Simplify right side
    33,617x = 903,445,848.62
  5. Step 5: Solve for x
    x = 903,445,848.62/33,617
  6. Step 6: Final answer
    x = 26,874.67

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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.