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Finding the Fourth Proportional to 33,205.40, 49,865.70 and 17,653.40

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Solution

The fourth proportional to 33,205.40, 49,865.70 and 17,653.40 is: 26,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.40 : 49,865.70 = 17,653.40 : x
  2. Step 2: Convert to fraction form
    33,205.40/49,865.70 = 17,653.40/x
  3. Step 3: Cross multiply
    33,205.40x = 49,865.70 × 17,653.40
  4. Step 4: Simplify right side
    33,205.40x = 880,299,148.38
  5. Step 5: Solve for x
    x = 880,299,148.38/33,205.40
  6. Step 6: Final answer
    x = 26,510.72

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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.