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Finding the Fourth Proportional to 73,071.98, 100,839.48 and 40,806.44

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Solution

The fourth proportional to 73,071.98, 100,839.48 and 40,806.44 is: 56,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071.98 : 100,839.48 = 40,806.44 : x
  2. Step 2: Convert to fraction form
    73,071.98/100,839.48 = 40,806.44/x
  3. Step 3: Cross multiply
    73,071.98x = 100,839.48 × 40,806.44
  4. Step 4: Simplify right side
    73,071.98x = 4,114,900,190.25
  5. Step 5: Solve for x
    x = 4,114,900,190.25/73,071.98
  6. Step 6: Final answer
    x = 56,312.97

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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.