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Finding the Fourth Proportional to 30,584.84, 45,824.12 and 16,554.54

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Solution

The fourth proportional to 30,584.84, 45,824.12 and 16,554.54 is: 24,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.84 : 45,824.12 = 16,554.54 : x
  2. Step 2: Convert to fraction form
    30,584.84/45,824.12 = 16,554.54/x
  3. Step 3: Cross multiply
    30,584.84x = 45,824.12 × 16,554.54
  4. Step 4: Simplify right side
    30,584.84x = 758,597,227.50
  5. Step 5: Solve for x
    x = 758,597,227.50/30,584.84
  6. Step 6: Final answer
    x = 24,803.05

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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.