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Finding the Fourth Proportional to 54,576.90, 81,869.13 and 21,285.90

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Solution

The fourth proportional to 54,576.90, 81,869.13 and 21,285.90 is: 31,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576.90 : 81,869.13 = 21,285.90 : x
  2. Step 2: Convert to fraction form
    54,576.90/81,869.13 = 21,285.90/x
  3. Step 3: Cross multiply
    54,576.90x = 81,869.13 × 21,285.90
  4. Step 4: Simplify right side
    54,576.90x = 1,742,658,114.27
  5. Step 5: Solve for x
    x = 1,742,658,114.27/54,576.90
  6. Step 6: Final answer
    x = 31,930.32

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Why These Related Problems?

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