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Finding the Fourth Proportional to 41,878.94, 62,826.11 and 13,800.65

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Solution

The fourth proportional to 41,878.94, 62,826.11 and 13,800.65 is: 20,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,878.94 : 62,826.11 = 13,800.65 : x
  2. Step 2: Convert to fraction form
    41,878.94/62,826.11 = 13,800.65/x
  3. Step 3: Cross multiply
    41,878.94x = 62,826.11 × 13,800.65
  4. Step 4: Simplify right side
    41,878.94x = 867,041,294.79
  5. Step 5: Solve for x
    x = 867,041,294.79/41,878.94
  6. Step 6: Final answer
    x = 20,703.51

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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.