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Finding the Fourth Proportional to 33,271.40, 49,907.10 and 21,461.60

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Solution

The fourth proportional to 33,271.40, 49,907.10 and 21,461.60 is: 32,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,271.40 : 49,907.10 = 21,461.60 : x
  2. Step 2: Convert to fraction form
    33,271.40/49,907.10 = 21,461.60/x
  3. Step 3: Cross multiply
    33,271.40x = 49,907.10 × 21,461.60
  4. Step 4: Simplify right side
    33,271.40x = 1,071,086,217.36
  5. Step 5: Solve for x
    x = 1,071,086,217.36/33,271.40
  6. Step 6: Final answer
    x = 32,192.40

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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.