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Finding the Fourth Proportional to 30,178.17, 41,643.92 and 16,749.43

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Solution

The fourth proportional to 30,178.17, 41,643.92 and 16,749.43 is: 23,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.17 : 41,643.92 = 16,749.43 : x
  2. Step 2: Convert to fraction form
    30,178.17/41,643.92 = 16,749.43/x
  3. Step 3: Cross multiply
    30,178.17x = 41,643.92 × 16,749.43
  4. Step 4: Simplify right side
    30,178.17x = 697,511,714.75
  5. Step 5: Solve for x
    x = 697,511,714.75/30,178.17
  6. Step 6: Final answer
    x = 23,113.13

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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.