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Finding the Fourth Proportional to 29,742.40, 44,583.60 and 11,010.40

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Solution

The fourth proportional to 29,742.40, 44,583.60 and 11,010.40 is: 16,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.40 : 44,583.60 = 11,010.40 : x
  2. Step 2: Convert to fraction form
    29,742.40/44,583.60 = 11,010.40/x
  3. Step 3: Cross multiply
    29,742.40x = 44,583.60 × 11,010.40
  4. Step 4: Simplify right side
    29,742.40x = 490,883,269.44
  5. Step 5: Solve for x
    x = 490,883,269.44/29,742.40
  6. Step 6: Final answer
    x = 16,504.49

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Why These Related Problems?

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