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Finding the Fourth Proportional to 33,261, 45,900.24 and 18,357

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Solution

The fourth proportional to 33,261, 45,900.24 and 18,357 is: 25,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261 : 45,900.24 = 18,357 : x
  2. Step 2: Convert to fraction form
    33,261/45,900.24 = 18,357/x
  3. Step 3: Cross multiply
    33,261x = 45,900.24 × 18,357
  4. Step 4: Simplify right side
    33,261x = 842,590,705.68
  5. Step 5: Solve for x
    x = 842,590,705.68/33,261
  6. Step 6: Final answer
    x = 25,332.69

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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.