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Finding the Fourth Proportional to 57,324.30, 85,813.65 and 50,412.30

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Solution

The fourth proportional to 57,324.30, 85,813.65 and 50,412.30 is: 75,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,324.30 : 85,813.65 = 50,412.30 : x
  2. Step 2: Convert to fraction form
    57,324.30/85,813.65 = 50,412.30/x
  3. Step 3: Cross multiply
    57,324.30x = 85,813.65 × 50,412.30
  4. Step 4: Simplify right side
    57,324.30x = 4,326,063,467.90
  5. Step 5: Solve for x
    x = 4,326,063,467.90/57,324.30
  6. Step 6: Final answer
    x = 75,466.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.