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Finding the Fourth Proportional to 36,014.50, 49,705.02 and 20,099.97

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Solution

The fourth proportional to 36,014.50, 49,705.02 and 20,099.97 is: 27,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,014.50 : 49,705.02 = 20,099.97 : x
  2. Step 2: Convert to fraction form
    36,014.50/49,705.02 = 20,099.97/x
  3. Step 3: Cross multiply
    36,014.50x = 49,705.02 × 20,099.97
  4. Step 4: Simplify right side
    36,014.50x = 999,069,494.11
  5. Step 5: Solve for x
    x = 999,069,494.11/36,014.50
  6. Step 6: Final answer
    x = 27,740.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.