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Finding the Fourth Proportional to 30,232.80, 41,714.82 and 18,293.76

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Solution

The fourth proportional to 30,232.80, 41,714.82 and 18,293.76 is: 25,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.80 : 41,714.82 = 18,293.76 : x
  2. Step 2: Convert to fraction form
    30,232.80/41,714.82 = 18,293.76/x
  3. Step 3: Cross multiply
    30,232.80x = 41,714.82 × 18,293.76
  4. Step 4: Simplify right side
    30,232.80x = 763,120,905.52
  5. Step 5: Solve for x
    x = 763,120,905.52/30,232.80
  6. Step 6: Final answer
    x = 25,241.49

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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.