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Finding the Fourth Proportional to 34,684.96, 47,853.32 and 19,575.76

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Solution

The fourth proportional to 34,684.96, 47,853.32 and 19,575.76 is: 27,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,684.96 : 47,853.32 = 19,575.76 : x
  2. Step 2: Convert to fraction form
    34,684.96/47,853.32 = 19,575.76/x
  3. Step 3: Cross multiply
    34,684.96x = 47,853.32 × 19,575.76
  4. Step 4: Simplify right side
    34,684.96x = 936,765,107.52
  5. Step 5: Solve for x
    x = 936,765,107.52/34,684.96
  6. Step 6: Final answer
    x = 27,007.82

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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.