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Finding the Fourth Proportional to 35,676.31, 53,514.93 and 13,500.13

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Solution

The fourth proportional to 35,676.31, 53,514.93 and 13,500.13 is: 20,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,676.31 : 53,514.93 = 13,500.13 : x
  2. Step 2: Convert to fraction form
    35,676.31/53,514.93 = 13,500.13/x
  3. Step 3: Cross multiply
    35,676.31x = 53,514.93 × 13,500.13
  4. Step 4: Simplify right side
    35,676.31x = 722,458,511.94
  5. Step 5: Solve for x
    x = 722,458,511.94/35,676.31
  6. Step 6: Final answer
    x = 20,250.37

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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.