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Finding the Fourth Proportional to 69,538, 103,412.44 and 67,323.74

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Solution

The fourth proportional to 69,538, 103,412.44 and 67,323.74 is: 100,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,538 : 103,412.44 = 67,323.74 : x
  2. Step 2: Convert to fraction form
    69,538/103,412.44 = 67,323.74/x
  3. Step 3: Cross multiply
    69,538x = 103,412.44 × 67,323.74
  4. Step 4: Simplify right side
    69,538x = 6,962,112,223.33
  5. Step 5: Solve for x
    x = 6,962,112,223.33/69,538
  6. Step 6: Final answer
    x = 100,119.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.