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Finding the Fourth Proportional to 43,986.51, 65,978.84 and 10,706.76

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Solution

The fourth proportional to 43,986.51, 65,978.84 and 10,706.76 is: 16,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,986.51 : 65,978.84 = 10,706.76 : x
  2. Step 2: Convert to fraction form
    43,986.51/65,978.84 = 10,706.76/x
  3. Step 3: Cross multiply
    43,986.51x = 65,978.84 × 10,706.76
  4. Step 4: Simplify right side
    43,986.51x = 706,419,604.96
  5. Step 5: Solve for x
    x = 706,419,604.96/43,986.51
  6. Step 6: Final answer
    x = 16,059.91

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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.