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Finding the Fourth Proportional to 30,845.86, 46,174.42 and 19,763.24

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Solution

The fourth proportional to 30,845.86, 46,174.42 and 19,763.24 is: 29,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.86 : 46,174.42 = 19,763.24 : x
  2. Step 2: Convert to fraction form
    30,845.86/46,174.42 = 19,763.24/x
  3. Step 3: Cross multiply
    30,845.86x = 46,174.42 × 19,763.24
  4. Step 4: Simplify right side
    30,845.86x = 912,556,144.32
  5. Step 5: Solve for x
    x = 912,556,144.32/30,845.86
  6. Step 6: Final answer
    x = 29,584.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.