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Finding the Fourth Proportional to 30,838, 42,556.56 and 16,690.84

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Solution

The fourth proportional to 30,838, 42,556.56 and 16,690.84 is: 23,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838 : 42,556.56 = 16,690.84 : x
  2. Step 2: Convert to fraction form
    30,838/42,556.56 = 16,690.84/x
  3. Step 3: Cross multiply
    30,838x = 42,556.56 × 16,690.84
  4. Step 4: Simplify right side
    30,838x = 710,304,733.91
  5. Step 5: Solve for x
    x = 710,304,733.91/30,838
  6. Step 6: Final answer
    x = 23,033.42

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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.