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Finding the Fourth Proportional to 33,228, 45,854.64 and 18,324

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Solution

The fourth proportional to 33,228, 45,854.64 and 18,324 is: 25,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228 : 45,854.64 = 18,324 : x
  2. Step 2: Convert to fraction form
    33,228/45,854.64 = 18,324/x
  3. Step 3: Cross multiply
    33,228x = 45,854.64 × 18,324
  4. Step 4: Simplify right side
    33,228x = 840,240,423.36
  5. Step 5: Solve for x
    x = 840,240,423.36/33,228
  6. Step 6: Final answer
    x = 25,287.12

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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.