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Finding the Fourth Proportional to 100,351.72, 150,533.34 and 30,223.72

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Solution

The fourth proportional to 100,351.72, 150,533.34 and 30,223.72 is: 45,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,351.72 : 150,533.34 = 30,223.72 : x
  2. Step 2: Convert to fraction form
    100,351.72/150,533.34 = 30,223.72/x
  3. Step 3: Cross multiply
    100,351.72x = 150,533.34 × 30,223.72
  4. Step 4: Simplify right side
    100,351.72x = 4,549,677,518.82
  5. Step 5: Solve for x
    x = 4,549,677,518.82/100,351.72
  6. Step 6: Final answer
    x = 45,337.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.