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Finding the Fourth Proportional to 29,840, 44,750.44 and 9,845.02

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Solution

The fourth proportional to 29,840, 44,750.44 and 9,845.02 is: 14,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840 : 44,750.44 = 9,845.02 : x
  2. Step 2: Convert to fraction form
    29,840/44,750.44 = 9,845.02/x
  3. Step 3: Cross multiply
    29,840x = 44,750.44 × 9,845.02
  4. Step 4: Simplify right side
    29,840x = 440,568,976.81
  5. Step 5: Solve for x
    x = 440,568,976.81/29,840
  6. Step 6: Final answer
    x = 14,764.38

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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.