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Finding the Fourth Proportional to 31,076.55, 42,885.54 and 17,647.20

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Solution

The fourth proportional to 31,076.55, 42,885.54 and 17,647.20 is: 24,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.55 : 42,885.54 = 17,647.20 : x
  2. Step 2: Convert to fraction form
    31,076.55/42,885.54 = 17,647.20/x
  3. Step 3: Cross multiply
    31,076.55x = 42,885.54 × 17,647.20
  4. Step 4: Simplify right side
    31,076.55x = 756,809,701.49
  5. Step 5: Solve for x
    x = 756,809,701.49/31,076.55
  6. Step 6: Final answer
    x = 24,353.08

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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.