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Finding the Fourth Proportional to 32,971.26, 45,502.32 and 20,225.88

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Solution

The fourth proportional to 32,971.26, 45,502.32 and 20,225.88 is: 27,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.26 : 45,502.32 = 20,225.88 : x
  2. Step 2: Convert to fraction form
    32,971.26/45,502.32 = 20,225.88/x
  3. Step 3: Cross multiply
    32,971.26x = 45,502.32 × 20,225.88
  4. Step 4: Simplify right side
    32,971.26x = 920,324,464.04
  5. Step 5: Solve for x
    x = 920,324,464.04/32,971.26
  6. Step 6: Final answer
    x = 27,912.93

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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.