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Finding the Fourth Proportional to 33,930, 46,833.93 and 22,752

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Solution

The fourth proportional to 33,930, 46,833.93 and 22,752 is: 31,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930 : 46,833.93 = 22,752 : x
  2. Step 2: Convert to fraction form
    33,930/46,833.93 = 22,752/x
  3. Step 3: Cross multiply
    33,930x = 46,833.93 × 22,752
  4. Step 4: Simplify right side
    33,930x = 1,065,565,575.36
  5. Step 5: Solve for x
    x = 1,065,565,575.36/33,930
  6. Step 6: Final answer
    x = 31,404.82

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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.