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Finding the Fourth Proportional to 100,427.60, 150,647.16 and 30,314

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Solution

The fourth proportional to 100,427.60, 150,647.16 and 30,314 is: 45,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,427.60 : 150,647.16 = 30,314 : x
  2. Step 2: Convert to fraction form
    100,427.60/150,647.16 = 30,314/x
  3. Step 3: Cross multiply
    100,427.60x = 150,647.16 × 30,314
  4. Step 4: Simplify right side
    100,427.60x = 4,566,718,008.24
  5. Step 5: Solve for x
    x = 4,566,718,008.24/100,427.60
  6. Step 6: Final answer
    x = 45,472.74

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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.