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Finding the Fourth Proportional to 35,351.86, 53,016.52 and 11,654.99

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Solution

The fourth proportional to 35,351.86, 53,016.52 and 11,654.99 is: 17,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,351.86 : 53,016.52 = 11,654.99 : x
  2. Step 2: Convert to fraction form
    35,351.86/53,016.52 = 11,654.99/x
  3. Step 3: Cross multiply
    35,351.86x = 53,016.52 × 11,654.99
  4. Step 4: Simplify right side
    35,351.86x = 617,907,010.43
  5. Step 5: Solve for x
    x = 617,907,010.43/35,351.86
  6. Step 6: Final answer
    x = 17,478.77

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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.