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Finding the Fourth Proportional to 34,676.54, 47,853.50 and 18,761

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Solution

The fourth proportional to 34,676.54, 47,853.50 and 18,761 is: 25,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,676.54 : 47,853.50 = 18,761 : x
  2. Step 2: Convert to fraction form
    34,676.54/47,853.50 = 18,761/x
  3. Step 3: Cross multiply
    34,676.54x = 47,853.50 × 18,761
  4. Step 4: Simplify right side
    34,676.54x = 897,779,513.50
  5. Step 5: Solve for x
    x = 897,779,513.50/34,676.54
  6. Step 6: Final answer
    x = 25,890.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.