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Finding the Fourth Proportional to 35,676.12, 53,514.78 and 13,499.94

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Solution

The fourth proportional to 35,676.12, 53,514.78 and 13,499.94 is: 20,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,676.12 : 53,514.78 = 13,499.94 : x
  2. Step 2: Convert to fraction form
    35,676.12/53,514.78 = 13,499.94/x
  3. Step 3: Cross multiply
    35,676.12x = 53,514.78 × 13,499.94
  4. Step 4: Simplify right side
    35,676.12x = 722,446,319.11
  5. Step 5: Solve for x
    x = 722,446,319.11/35,676.12
  6. Step 6: Final answer
    x = 20,250.14

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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.