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Finding the Fourth Proportional to 43,765.64, 65,651.16 and 29,719.70

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Solution

The fourth proportional to 43,765.64, 65,651.16 and 29,719.70 is: 44,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,765.64 : 65,651.16 = 29,719.70 : x
  2. Step 2: Convert to fraction form
    43,765.64/65,651.16 = 29,719.70/x
  3. Step 3: Cross multiply
    43,765.64x = 65,651.16 × 29,719.70
  4. Step 4: Simplify right side
    43,765.64x = 1,951,132,779.85
  5. Step 5: Solve for x
    x = 1,951,132,779.85/43,765.64
  6. Step 6: Final answer
    x = 44,581.38

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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.