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Finding the Fourth Proportional to 100,572.48, 150,860.16 and 30,451.68

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Solution

The fourth proportional to 100,572.48, 150,860.16 and 30,451.68 is: 45,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572.48 : 150,860.16 = 30,451.68 : x
  2. Step 2: Convert to fraction form
    100,572.48/150,860.16 = 30,451.68/x
  3. Step 3: Cross multiply
    100,572.48x = 150,860.16 × 30,451.68
  4. Step 4: Simplify right side
    100,572.48x = 4,593,945,317.07
  5. Step 5: Solve for x
    x = 4,593,945,317.07/100,572.48
  6. Step 6: Final answer
    x = 45,677.96

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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.