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Finding the Fourth Proportional to 33,784, 46,624.80 and 18,882.88

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Solution

The fourth proportional to 33,784, 46,624.80 and 18,882.88 is: 26,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784 : 46,624.80 = 18,882.88 : x
  2. Step 2: Convert to fraction form
    33,784/46,624.80 = 18,882.88/x
  3. Step 3: Cross multiply
    33,784x = 46,624.80 × 18,882.88
  4. Step 4: Simplify right side
    33,784x = 880,410,503.42
  5. Step 5: Solve for x
    x = 880,410,503.42/33,784
  6. Step 6: Final answer
    x = 26,059.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.