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Finding the Fourth Proportional to 30,106.88, 45,163.28 and 10,382.84

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Solution

The fourth proportional to 30,106.88, 45,163.28 and 10,382.84 is: 15,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.88 : 45,163.28 = 10,382.84 : x
  2. Step 2: Convert to fraction form
    30,106.88/45,163.28 = 10,382.84/x
  3. Step 3: Cross multiply
    30,106.88x = 45,163.28 × 10,382.84
  4. Step 4: Simplify right side
    30,106.88x = 468,923,110.12
  5. Step 5: Solve for x
    x = 468,923,110.12/30,106.88
  6. Step 6: Final answer
    x = 15,575.28

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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.