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Finding the Fourth Proportional to 30,842.78, 46,264.01 and 7,469.21

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Solution

The fourth proportional to 30,842.78, 46,264.01 and 7,469.21 is: 11,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.78 : 46,264.01 = 7,469.21 : x
  2. Step 2: Convert to fraction form
    30,842.78/46,264.01 = 7,469.21/x
  3. Step 3: Cross multiply
    30,842.78x = 46,264.01 × 7,469.21
  4. Step 4: Simplify right side
    30,842.78x = 345,555,827.21
  5. Step 5: Solve for x
    x = 345,555,827.21/30,842.78
  6. Step 6: Final answer
    x = 11,203.78

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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.