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Finding the Fourth Proportional to 30,952.38, 42,714.24 and 16,805.22

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Solution

The fourth proportional to 30,952.38, 42,714.24 and 16,805.22 is: 23,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.38 : 42,714.24 = 16,805.22 : x
  2. Step 2: Convert to fraction form
    30,952.38/42,714.24 = 16,805.22/x
  3. Step 3: Cross multiply
    30,952.38x = 42,714.24 × 16,805.22
  4. Step 4: Simplify right side
    30,952.38x = 717,822,200.33
  5. Step 5: Solve for x
    x = 717,822,200.33/30,952.38
  6. Step 6: Final answer
    x = 23,191.18

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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.