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Finding the Fourth Proportional to 51,714.36, 71,360.64 and 29,055.96

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Solution

The fourth proportional to 51,714.36, 71,360.64 and 29,055.96 is: 40,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714.36 : 71,360.64 = 29,055.96 : x
  2. Step 2: Convert to fraction form
    51,714.36/71,360.64 = 29,055.96/x
  3. Step 3: Cross multiply
    51,714.36x = 71,360.64 × 29,055.96
  4. Step 4: Simplify right side
    51,714.36x = 2,073,451,901.41
  5. Step 5: Solve for x
    x = 2,073,451,901.41/51,714.36
  6. Step 6: Final answer
    x = 40,094.32

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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.