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Finding the Fourth Proportional to 35,688.79, 53,514.96 and 13,198.33

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Solution

The fourth proportional to 35,688.79, 53,514.96 and 13,198.33 is: 19,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,688.79 : 53,514.96 = 13,198.33 : x
  2. Step 2: Convert to fraction form
    35,688.79/53,514.96 = 13,198.33/x
  3. Step 3: Cross multiply
    35,688.79x = 53,514.96 × 13,198.33
  4. Step 4: Simplify right side
    35,688.79x = 706,307,918.74
  5. Step 5: Solve for x
    x = 706,307,918.74/35,688.79
  6. Step 6: Final answer
    x = 19,790.75

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