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Finding the Fourth Proportional to 29,714.32, 44,542.16 and 14,142.88

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Solution

The fourth proportional to 29,714.32, 44,542.16 and 14,142.88 is: 21,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.32 : 44,542.16 = 14,142.88 : x
  2. Step 2: Convert to fraction form
    29,714.32/44,542.16 = 14,142.88/x
  3. Step 3: Cross multiply
    29,714.32x = 44,542.16 × 14,142.88
  4. Step 4: Simplify right side
    29,714.32x = 629,954,423.82
  5. Step 5: Solve for x
    x = 629,954,423.82/29,714.32
  6. Step 6: Final answer
    x = 21,200.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.