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Finding the Fourth Proportional to 31,076.27, 42,885.53 and 17,647.80

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Solution

The fourth proportional to 31,076.27, 42,885.53 and 17,647.80 is: 24,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.27 : 42,885.53 = 17,647.80 : x
  2. Step 2: Convert to fraction form
    31,076.27/42,885.53 = 17,647.80/x
  3. Step 3: Cross multiply
    31,076.27x = 42,885.53 × 17,647.80
  4. Step 4: Simplify right side
    31,076.27x = 756,835,168.10
  5. Step 5: Solve for x
    x = 756,835,168.10/31,076.27
  6. Step 6: Final answer
    x = 24,354.12

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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.