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Finding the Fourth Proportional to 107,706.40, 161,546.84 and 28,826.72

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Solution

The fourth proportional to 107,706.40, 161,546.84 and 28,826.72 is: 43,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706.40 : 161,546.84 = 28,826.72 : x
  2. Step 2: Convert to fraction form
    107,706.40/161,546.84 = 28,826.72/x
  3. Step 3: Cross multiply
    107,706.40x = 161,546.84 × 28,826.72
  4. Step 4: Simplify right side
    107,706.40x = 4,656,865,523.56
  5. Step 5: Solve for x
    x = 4,656,865,523.56/107,706.40
  6. Step 6: Final answer
    x = 43,236.66

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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.