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Finding the Fourth Proportional to 20,705.41, 31,057.83 and 5,123.05

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Solution

The fourth proportional to 20,705.41, 31,057.83 and 5,123.05 is: 7,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.41 : 31,057.83 = 5,123.05 : x
  2. Step 2: Convert to fraction form
    20,705.41/31,057.83 = 5,123.05/x
  3. Step 3: Cross multiply
    20,705.41x = 31,057.83 × 5,123.05
  4. Step 4: Simplify right side
    20,705.41x = 159,110,815.98
  5. Step 5: Solve for x
    x = 159,110,815.98/20,705.41
  6. Step 6: Final answer
    x = 7,684.50

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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.