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Finding the Fourth Proportional to 73,224, 101,064.24 and 41,394.24

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Solution

The fourth proportional to 73,224, 101,064.24 and 41,394.24 is: 57,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,224 : 101,064.24 = 41,394.24 : x
  2. Step 2: Convert to fraction form
    73,224/101,064.24 = 41,394.24/x
  3. Step 3: Cross multiply
    73,224x = 101,064.24 × 41,394.24
  4. Step 4: Simplify right side
    73,224x = 4,183,477,405.98
  5. Step 5: Solve for x
    x = 4,183,477,405.98/73,224
  6. Step 6: Final answer
    x = 57,132.60

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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.