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Finding the Fourth Proportional to 101,344.75, 152,041.73 and 31,224.06

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Solution

The fourth proportional to 101,344.75, 152,041.73 and 31,224.06 is: 46,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,344.75 : 152,041.73 = 31,224.06 : x
  2. Step 2: Convert to fraction form
    101,344.75/152,041.73 = 31,224.06/x
  3. Step 3: Cross multiply
    101,344.75x = 152,041.73 × 31,224.06
  4. Step 4: Simplify right side
    101,344.75x = 4,747,360,480.13
  5. Step 5: Solve for x
    x = 4,747,360,480.13/101,344.75
  6. Step 6: Final answer
    x = 46,843.67

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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.