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Finding the Fourth Proportional to 33,646, 50,462.52 and 11,459.20

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Solution

The fourth proportional to 33,646, 50,462.52 and 11,459.20 is: 17,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,646 : 50,462.52 = 11,459.20 : x
  2. Step 2: Convert to fraction form
    33,646/50,462.52 = 11,459.20/x
  3. Step 3: Cross multiply
    33,646x = 50,462.52 × 11,459.20
  4. Step 4: Simplify right side
    33,646x = 578,260,109.18
  5. Step 5: Solve for x
    x = 578,260,109.18/33,646
  6. Step 6: Final answer
    x = 17,186.59

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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.