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Finding the Fourth Proportional to 66,658.44, 100,036.78 and 31,597.96

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Solution

The fourth proportional to 66,658.44, 100,036.78 and 31,597.96 is: 47,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,658.44 : 100,036.78 = 31,597.96 : x
  2. Step 2: Convert to fraction form
    66,658.44/100,036.78 = 31,597.96/x
  3. Step 3: Cross multiply
    66,658.44x = 100,036.78 × 31,597.96
  4. Step 4: Simplify right side
    66,658.44x = 3,160,958,172.97
  5. Step 5: Solve for x
    x = 3,160,958,172.97/66,658.44
  6. Step 6: Final answer
    x = 47,420.22

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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.