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Finding the Fourth Proportional to 54,846, 82,281.96 and 17,910

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Solution

The fourth proportional to 54,846, 82,281.96 and 17,910 is: 26,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,846 : 82,281.96 = 17,910 : x
  2. Step 2: Convert to fraction form
    54,846/82,281.96 = 17,910/x
  3. Step 3: Cross multiply
    54,846x = 82,281.96 × 17,910
  4. Step 4: Simplify right side
    54,846x = 1,473,669,903.60
  5. Step 5: Solve for x
    x = 1,473,669,903.60/54,846
  6. Step 6: Final answer
    x = 26,869.23

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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.