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Finding the Fourth Proportional to 33,412, 46,110.08 and 18,508

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Solution

The fourth proportional to 33,412, 46,110.08 and 18,508 is: 25,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412 : 46,110.08 = 18,508 : x
  2. Step 2: Convert to fraction form
    33,412/46,110.08 = 18,508/x
  3. Step 3: Cross multiply
    33,412x = 46,110.08 × 18,508
  4. Step 4: Simplify right side
    33,412x = 853,405,360.64
  5. Step 5: Solve for x
    x = 853,405,360.64/33,412
  6. Step 6: Final answer
    x = 25,541.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.