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Finding the Fourth Proportional to 33,461.92, 46,178.09 and 18,353.68

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Solution

The fourth proportional to 33,461.92, 46,178.09 and 18,353.68 is: 25,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,461.92 : 46,178.09 = 18,353.68 : x
  2. Step 2: Convert to fraction form
    33,461.92/46,178.09 = 18,353.68/x
  3. Step 3: Cross multiply
    33,461.92x = 46,178.09 × 18,353.68
  4. Step 4: Simplify right side
    33,461.92x = 847,537,657.74
  5. Step 5: Solve for x
    x = 847,537,657.74/33,461.92
  6. Step 6: Final answer
    x = 25,328.43

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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.