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Finding the Fourth Proportional to 33,144.28, 49,643.50 and 21,421.96

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Solution

The fourth proportional to 33,144.28, 49,643.50 and 21,421.96 is: 32,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144.28 : 49,643.50 = 21,421.96 : x
  2. Step 2: Convert to fraction form
    33,144.28/49,643.50 = 21,421.96/x
  3. Step 3: Cross multiply
    33,144.28x = 49,643.50 × 21,421.96
  4. Step 4: Simplify right side
    33,144.28x = 1,063,461,071.26
  5. Step 5: Solve for x
    x = 1,063,461,071.26/33,144.28
  6. Step 6: Final answer
    x = 32,085.81

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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.