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Finding the Fourth Proportional to 83,706.37, 125,461.08 and 33,719.71

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Solution

The fourth proportional to 83,706.37, 125,461.08 and 33,719.71 is: 50,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.37 : 125,461.08 = 33,719.71 : x
  2. Step 2: Convert to fraction form
    83,706.37/125,461.08 = 33,719.71/x
  3. Step 3: Cross multiply
    83,706.37x = 125,461.08 × 33,719.71
  4. Step 4: Simplify right side
    83,706.37x = 4,230,511,233.89
  5. Step 5: Solve for x
    x = 4,230,511,233.89/83,706.37
  6. Step 6: Final answer
    x = 50,539.90

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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.