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Finding the Fourth Proportional to 29,048.96, 43,581 and 8,274.08

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Solution

The fourth proportional to 29,048.96, 43,581 and 8,274.08 is: 12,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,048.96 : 43,581 = 8,274.08 : x
  2. Step 2: Convert to fraction form
    29,048.96/43,581 = 8,274.08/x
  3. Step 3: Cross multiply
    29,048.96x = 43,581 × 8,274.08
  4. Step 4: Simplify right side
    29,048.96x = 360,592,680.48
  5. Step 5: Solve for x
    x = 360,592,680.48/29,048.96
  6. Step 6: Final answer
    x = 12,413.27

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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.