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Finding the Fourth Proportional to 57,897, 79,897.86 and 32,745.96

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Solution

The fourth proportional to 57,897, 79,897.86 and 32,745.96 is: 45,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897 : 79,897.86 = 32,745.96 : x
  2. Step 2: Convert to fraction form
    57,897/79,897.86 = 32,745.96/x
  3. Step 3: Cross multiply
    57,897x = 79,897.86 × 32,745.96
  4. Step 4: Simplify right side
    57,897x = 2,616,332,127.65
  5. Step 5: Solve for x
    x = 2,616,332,127.65/57,897
  6. Step 6: Final answer
    x = 45,189.42

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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.