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Finding the Fourth Proportional to 43,410.96, 65,153.31 and 30,961.50

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Solution

The fourth proportional to 43,410.96, 65,153.31 and 30,961.50 is: 46,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,410.96 : 65,153.31 = 30,961.50 : x
  2. Step 2: Convert to fraction form
    43,410.96/65,153.31 = 30,961.50/x
  3. Step 3: Cross multiply
    43,410.96x = 65,153.31 × 30,961.50
  4. Step 4: Simplify right side
    43,410.96x = 2,017,244,207.57
  5. Step 5: Solve for x
    x = 2,017,244,207.57/43,410.96
  6. Step 6: Final answer
    x = 46,468.55

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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.