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Finding the Fourth Proportional to 35,701.34, 53,514.86 and 11,991.29

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Solution

The fourth proportional to 35,701.34, 53,514.86 and 11,991.29 is: 17,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.34 : 53,514.86 = 11,991.29 : x
  2. Step 2: Convert to fraction form
    35,701.34/53,514.86 = 11,991.29/x
  3. Step 3: Cross multiply
    35,701.34x = 53,514.86 × 11,991.29
  4. Step 4: Simplify right side
    35,701.34x = 641,711,878.04
  5. Step 5: Solve for x
    x = 641,711,878.04/35,701.34
  6. Step 6: Final answer
    x = 17,974.45

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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.