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Finding the Fourth Proportional to 41,745, 62,617.50 and 14,043

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Solution

The fourth proportional to 41,745, 62,617.50 and 14,043 is: 21,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,745 : 62,617.50 = 14,043 : x
  2. Step 2: Convert to fraction form
    41,745/62,617.50 = 14,043/x
  3. Step 3: Cross multiply
    41,745x = 62,617.50 × 14,043
  4. Step 4: Simplify right side
    41,745x = 879,337,552.50
  5. Step 5: Solve for x
    x = 879,337,552.50/41,745
  6. Step 6: Final answer
    x = 21,064.50

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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.