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Finding the Fourth Proportional to 71,206.80, 106,826.40 and 41,609.40

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Solution

The fourth proportional to 71,206.80, 106,826.40 and 41,609.40 is: 62,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206.80 : 106,826.40 = 41,609.40 : x
  2. Step 2: Convert to fraction form
    71,206.80/106,826.40 = 41,609.40/x
  3. Step 3: Cross multiply
    71,206.80x = 106,826.40 × 41,609.40
  4. Step 4: Simplify right side
    71,206.80x = 4,444,982,408.16
  5. Step 5: Solve for x
    x = 4,444,982,408.16/71,206.80
  6. Step 6: Final answer
    x = 62,423.57

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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.