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Finding the Fourth Proportional to 27,832.88, 38,415.51 and 21,771.11

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Solution

The fourth proportional to 27,832.88, 38,415.51 and 21,771.11 is: 30,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.88 : 38,415.51 = 21,771.11 : x
  2. Step 2: Convert to fraction form
    27,832.88/38,415.51 = 21,771.11/x
  3. Step 3: Cross multiply
    27,832.88x = 38,415.51 × 21,771.11
  4. Step 4: Simplify right side
    27,832.88x = 836,348,101.84
  5. Step 5: Solve for x
    x = 836,348,101.84/27,832.88
  6. Step 6: Final answer
    x = 30,048.93

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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.