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Finding the Fourth Proportional to 107,706.84, 161,560.25 and 28,819.05

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Solution

The fourth proportional to 107,706.84, 161,560.25 and 28,819.05 is: 43,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706.84 : 161,560.25 = 28,819.05 : x
  2. Step 2: Convert to fraction form
    107,706.84/161,560.25 = 28,819.05/x
  3. Step 3: Cross multiply
    107,706.84x = 161,560.25 × 28,819.05
  4. Step 4: Simplify right side
    107,706.84x = 4,656,012,922.76
  5. Step 5: Solve for x
    x = 4,656,012,922.76/107,706.84
  6. Step 6: Final answer
    x = 43,228.57

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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.