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Finding the Fourth Proportional to 30,952.26, 42,714.14 and 16,805.34

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Solution

The fourth proportional to 30,952.26, 42,714.14 and 16,805.34 is: 23,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.26 : 42,714.14 = 16,805.34 : x
  2. Step 2: Convert to fraction form
    30,952.26/42,714.14 = 16,805.34/x
  3. Step 3: Cross multiply
    30,952.26x = 42,714.14 × 16,805.34
  4. Step 4: Simplify right side
    30,952.26x = 717,825,561.48
  5. Step 5: Solve for x
    x = 717,825,561.48/30,952.26
  6. Step 6: Final answer
    x = 23,191.38

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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.