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Finding the Fourth Proportional to 29,820.96, 44,733.04 and 7,634.56

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Solution

The fourth proportional to 29,820.96, 44,733.04 and 7,634.56 is: 11,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.96 : 44,733.04 = 7,634.56 : x
  2. Step 2: Convert to fraction form
    29,820.96/44,733.04 = 7,634.56/x
  3. Step 3: Cross multiply
    29,820.96x = 44,733.04 × 7,634.56
  4. Step 4: Simplify right side
    29,820.96x = 341,517,077.86
  5. Step 5: Solve for x
    x = 341,517,077.86/29,820.96
  6. Step 6: Final answer
    x = 11,452.25

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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.