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Finding the Fourth Proportional to 52,537.44, 72,478.80 and 34,609.44

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Solution

The fourth proportional to 52,537.44, 72,478.80 and 34,609.44 is: 47,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,537.44 : 72,478.80 = 34,609.44 : x
  2. Step 2: Convert to fraction form
    52,537.44/72,478.80 = 34,609.44/x
  3. Step 3: Cross multiply
    52,537.44x = 72,478.80 × 34,609.44
  4. Step 4: Simplify right side
    52,537.44x = 2,508,450,679.87
  5. Step 5: Solve for x
    x = 2,508,450,679.87/52,537.44
  6. Step 6: Final answer
    x = 47,745.96

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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.