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Finding the Fourth Proportional to 73,998.50, 110,946.26 and 31,865.94

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Solution

The fourth proportional to 73,998.50, 110,946.26 and 31,865.94 is: 47,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,998.50 : 110,946.26 = 31,865.94 : x
  2. Step 2: Convert to fraction form
    73,998.50/110,946.26 = 31,865.94/x
  3. Step 3: Cross multiply
    73,998.50x = 110,946.26 × 31,865.94
  4. Step 4: Simplify right side
    73,998.50x = 3,535,406,705.05
  5. Step 5: Solve for x
    x = 3,535,406,705.05/73,998.50
  6. Step 6: Final answer
    x = 47,776.74

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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.