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Finding the Fourth Proportional to 100,362.82, 150,527.22 and 30,225.82

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Solution

The fourth proportional to 100,362.82, 150,527.22 and 30,225.82 is: 45,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,362.82 : 150,527.22 = 30,225.82 : x
  2. Step 2: Convert to fraction form
    100,362.82/150,527.22 = 30,225.82/x
  3. Step 3: Cross multiply
    100,362.82x = 150,527.22 × 30,225.82
  4. Step 4: Simplify right side
    100,362.82x = 4,549,808,656.82
  5. Step 5: Solve for x
    x = 4,549,808,656.82/100,362.82
  6. Step 6: Final answer
    x = 45,333.61

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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.