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Finding the Fourth Proportional to 33,153.40, 45,768.18 and 21,830.20

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Solution

The fourth proportional to 33,153.40, 45,768.18 and 21,830.20 is: 30,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.40 : 45,768.18 = 21,830.20 : x
  2. Step 2: Convert to fraction form
    33,153.40/45,768.18 = 21,830.20/x
  3. Step 3: Cross multiply
    33,153.40x = 45,768.18 × 21,830.20
  4. Step 4: Simplify right side
    33,153.40x = 999,128,523.04
  5. Step 5: Solve for x
    x = 999,128,523.04/33,153.40
  6. Step 6: Final answer
    x = 30,136.53

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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.