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Finding the Fourth Proportional to 73,161, 100,954.08 and 41,323.14

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Solution

The fourth proportional to 73,161, 100,954.08 and 41,323.14 is: 57,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,161 : 100,954.08 = 41,323.14 : x
  2. Step 2: Convert to fraction form
    73,161/100,954.08 = 41,323.14/x
  3. Step 3: Cross multiply
    73,161x = 100,954.08 × 41,323.14
  4. Step 4: Simplify right side
    73,161x = 4,171,739,581.41
  5. Step 5: Solve for x
    x = 4,171,739,581.41/73,161
  6. Step 6: Final answer
    x = 57,021.36

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1.5x scale

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.