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Finding the Fourth Proportional to 82,638.64, 114,076.29 and 55,817.56

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Solution

The fourth proportional to 82,638.64, 114,076.29 and 55,817.56 is: 77,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638.64 : 114,076.29 = 55,817.56 : x
  2. Step 2: Convert to fraction form
    82,638.64/114,076.29 = 55,817.56/x
  3. Step 3: Cross multiply
    82,638.64x = 114,076.29 × 55,817.56
  4. Step 4: Simplify right side
    82,638.64x = 6,367,460,161.65
  5. Step 5: Solve for x
    x = 6,367,460,161.65/82,638.64
  6. Step 6: Final answer
    x = 77,051.85

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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.