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Finding the Fourth Proportional to 30,714.49, 42,388.14 and 17,287.03

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Solution

The fourth proportional to 30,714.49, 42,388.14 and 17,287.03 is: 23,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.49 : 42,388.14 = 17,287.03 : x
  2. Step 2: Convert to fraction form
    30,714.49/42,388.14 = 17,287.03/x
  3. Step 3: Cross multiply
    30,714.49x = 42,388.14 × 17,287.03
  4. Step 4: Simplify right side
    30,714.49x = 732,765,047.82
  5. Step 5: Solve for x
    x = 732,765,047.82/30,714.49
  6. Step 6: Final answer
    x = 23,857.31

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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.