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Finding the Fourth Proportional to 66,926.98, 100,325.19 and 31,857.22

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Solution

The fourth proportional to 66,926.98, 100,325.19 and 31,857.22 is: 47,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,926.98 : 100,325.19 = 31,857.22 : x
  2. Step 2: Convert to fraction form
    66,926.98/100,325.19 = 31,857.22/x
  3. Step 3: Cross multiply
    66,926.98x = 100,325.19 × 31,857.22
  4. Step 4: Simplify right side
    66,926.98x = 3,196,081,649.37
  5. Step 5: Solve for x
    x = 3,196,081,649.37/66,926.98
  6. Step 6: Final answer
    x = 47,754.76

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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.