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Finding the Fourth Proportional to 54,497.30, 81,685.20 and 21,206.30

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Solution

The fourth proportional to 54,497.30, 81,685.20 and 21,206.30 is: 31,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497.30 : 81,685.20 = 21,206.30 : x
  2. Step 2: Convert to fraction form
    54,497.30/81,685.20 = 21,206.30/x
  3. Step 3: Cross multiply
    54,497.30x = 81,685.20 × 21,206.30
  4. Step 4: Simplify right side
    54,497.30x = 1,732,240,856.76
  5. Step 5: Solve for x
    x = 1,732,240,856.76/54,497.30
  6. Step 6: Final answer
    x = 31,785.81

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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.