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Finding the Fourth Proportional to 33,807, 50,699.72 and 11,615.03

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Solution

The fourth proportional to 33,807, 50,699.72 and 11,615.03 is: 17,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,807 : 50,699.72 = 11,615.03 : x
  2. Step 2: Convert to fraction form
    33,807/50,699.72 = 11,615.03/x
  3. Step 3: Cross multiply
    33,807x = 50,699.72 × 11,615.03
  4. Step 4: Simplify right side
    33,807x = 588,878,457.22
  5. Step 5: Solve for x
    x = 588,878,457.22/33,807
  6. Step 6: Final answer
    x = 17,418.83

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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.