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Finding the Fourth Proportional to 27,971.64, 38,522.52 and 23,212.08

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Solution

The fourth proportional to 27,971.64, 38,522.52 and 23,212.08 is: 31,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.64 : 38,522.52 = 23,212.08 : x
  2. Step 2: Convert to fraction form
    27,971.64/38,522.52 = 23,212.08/x
  3. Step 3: Cross multiply
    27,971.64x = 38,522.52 × 23,212.08
  4. Step 4: Simplify right side
    27,971.64x = 894,187,816.04
  5. Step 5: Solve for x
    x = 894,187,816.04/27,971.64
  6. Step 6: Final answer
    x = 31,967.66

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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.