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Finding the Fourth Proportional to 32,013.24, 44,197.74 and 21,958.20

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Solution

The fourth proportional to 32,013.24, 44,197.74 and 21,958.20 is: 30,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.24 : 44,197.74 = 21,958.20 : x
  2. Step 2: Convert to fraction form
    32,013.24/44,197.74 = 21,958.20/x
  3. Step 3: Cross multiply
    32,013.24x = 44,197.74 × 21,958.20
  4. Step 4: Simplify right side
    32,013.24x = 970,502,814.47
  5. Step 5: Solve for x
    x = 970,502,814.47/32,013.24
  6. Step 6: Final answer
    x = 30,315.67

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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.