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Finding the Fourth Proportional to 54,761.40, 82,026.90 and 45,545.40

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Solution

The fourth proportional to 54,761.40, 82,026.90 and 45,545.40 is: 68,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,761.40 : 82,026.90 = 45,545.40 : x
  2. Step 2: Convert to fraction form
    54,761.40/82,026.90 = 45,545.40/x
  3. Step 3: Cross multiply
    54,761.40x = 82,026.90 × 45,545.40
  4. Step 4: Simplify right side
    54,761.40x = 3,735,947,971.26
  5. Step 5: Solve for x
    x = 3,735,947,971.26/54,761.40
  6. Step 6: Final answer
    x = 68,222.29

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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.