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Finding the Fourth Proportional to 55,096.66, 82,612.14 and 21,821.50

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Solution

The fourth proportional to 55,096.66, 82,612.14 and 21,821.50 is: 32,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,096.66 : 82,612.14 = 21,821.50 : x
  2. Step 2: Convert to fraction form
    55,096.66/82,612.14 = 21,821.50/x
  3. Step 3: Cross multiply
    55,096.66x = 82,612.14 × 21,821.50
  4. Step 4: Simplify right side
    55,096.66x = 1,802,720,813.01
  5. Step 5: Solve for x
    x = 1,802,720,813.01/55,096.66
  6. Step 6: Final answer
    x = 32,719.24

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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.