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Finding the Fourth Proportional to 33,402, 46,093.92 and 18,294.68

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Solution

The fourth proportional to 33,402, 46,093.92 and 18,294.68 is: 25,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,402 : 46,093.92 = 18,294.68 : x
  2. Step 2: Convert to fraction form
    33,402/46,093.92 = 18,294.68/x
  3. Step 3: Cross multiply
    33,402x = 46,093.92 × 18,294.68
  4. Step 4: Simplify right side
    33,402x = 843,273,516.35
  5. Step 5: Solve for x
    x = 843,273,516.35/33,402
  6. Step 6: Final answer
    x = 25,246.20

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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.