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Finding the Fourth Proportional to 100,566.50, 150,869.16 and 38,232.14

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Solution

The fourth proportional to 100,566.50, 150,869.16 and 38,232.14 is: 57,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,566.50 : 150,869.16 = 38,232.14 : x
  2. Step 2: Convert to fraction form
    100,566.50/150,869.16 = 38,232.14/x
  3. Step 3: Cross multiply
    100,566.50x = 150,869.16 × 38,232.14
  4. Step 4: Simplify right side
    100,566.50x = 5,768,050,846.80
  5. Step 5: Solve for x
    x = 5,768,050,846.80/100,566.50
  6. Step 6: Final answer
    x = 57,355.59

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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.