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Finding the Fourth Proportional to 30,714.21, 42,391.41 and 19,234.46

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Solution

The fourth proportional to 30,714.21, 42,391.41 and 19,234.46 is: 26,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.21 : 42,391.41 = 19,234.46 : x
  2. Step 2: Convert to fraction form
    30,714.21/42,391.41 = 19,234.46/x
  3. Step 3: Cross multiply
    30,714.21x = 42,391.41 × 19,234.46
  4. Step 4: Simplify right side
    30,714.21x = 815,375,668.03
  5. Step 5: Solve for x
    x = 815,375,668.03/30,714.21
  6. Step 6: Final answer
    x = 26,547.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.