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Finding the Fourth Proportional to 49,036, 67,675.44 and 29,164

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Solution

The fourth proportional to 49,036, 67,675.44 and 29,164 is: 40,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,036 : 67,675.44 = 29,164 : x
  2. Step 2: Convert to fraction form
    49,036/67,675.44 = 29,164/x
  3. Step 3: Cross multiply
    49,036x = 67,675.44 × 29,164
  4. Step 4: Simplify right side
    49,036x = 1,973,686,532.16
  5. Step 5: Solve for x
    x = 1,973,686,532.16/49,036
  6. Step 6: Final answer
    x = 40,249.75

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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.