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Finding the Fourth Proportional to 100,380.42, 150,570.51 and 30,259.73

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Solution

The fourth proportional to 100,380.42, 150,570.51 and 30,259.73 is: 45,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,380.42 : 150,570.51 = 30,259.73 : x
  2. Step 2: Convert to fraction form
    100,380.42/150,570.51 = 30,259.73/x
  3. Step 3: Cross multiply
    100,380.42x = 150,570.51 × 30,259.73
  4. Step 4: Simplify right side
    100,380.42x = 4,556,222,225.71
  5. Step 5: Solve for x
    x = 4,556,222,225.71/100,380.42
  6. Step 6: Final answer
    x = 45,389.55

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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.