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Finding the Fourth Proportional to 33,220.61, 49,774.53 and 20,045.30

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Solution

The fourth proportional to 33,220.61, 49,774.53 and 20,045.30 is: 30,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220.61 : 49,774.53 = 20,045.30 : x
  2. Step 2: Convert to fraction form
    33,220.61/49,774.53 = 20,045.30/x
  3. Step 3: Cross multiply
    33,220.61x = 49,774.53 × 20,045.30
  4. Step 4: Simplify right side
    33,220.61x = 997,745,386.21
  5. Step 5: Solve for x
    x = 997,745,386.21/33,220.61
  6. Step 6: Final answer
    x = 30,033.93

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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.