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Finding the Fourth Proportional to 41,676.34, 57,514.80 and 22,813.60

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Solution

The fourth proportional to 41,676.34, 57,514.80 and 22,813.60 is: 31,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,676.34 : 57,514.80 = 22,813.60 : x
  2. Step 2: Convert to fraction form
    41,676.34/57,514.80 = 22,813.60/x
  3. Step 3: Cross multiply
    41,676.34x = 57,514.80 × 22,813.60
  4. Step 4: Simplify right side
    41,676.34x = 1,312,119,641.28
  5. Step 5: Solve for x
    x = 1,312,119,641.28/41,676.34
  6. Step 6: Final answer
    x = 31,483.56

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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.