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Finding the Fourth Proportional to 41,617.50, 62,426.25 and 12,433.50

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Solution

The fourth proportional to 41,617.50, 62,426.25 and 12,433.50 is: 18,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,617.50 : 62,426.25 = 12,433.50 : x
  2. Step 2: Convert to fraction form
    41,617.50/62,426.25 = 12,433.50/x
  3. Step 3: Cross multiply
    41,617.50x = 62,426.25 × 12,433.50
  4. Step 4: Simplify right side
    41,617.50x = 776,176,779.38
  5. Step 5: Solve for x
    x = 776,176,779.38/41,617.50
  6. Step 6: Final answer
    x = 18,650.25

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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.