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Finding the Fourth Proportional to 29,678.40, 44,512.74 and 10,967.20

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Solution

The fourth proportional to 29,678.40, 44,512.74 and 10,967.20 is: 16,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.40 : 44,512.74 = 10,967.20 : x
  2. Step 2: Convert to fraction form
    29,678.40/44,512.74 = 10,967.20/x
  3. Step 3: Cross multiply
    29,678.40x = 44,512.74 × 10,967.20
  4. Step 4: Simplify right side
    29,678.40x = 488,180,010.85
  5. Step 5: Solve for x
    x = 488,180,010.85/29,678.40
  6. Step 6: Final answer
    x = 16,449.00

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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.