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Finding the Fourth Proportional to 41,775, 62,662.52 and 14,073

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Solution

The fourth proportional to 41,775, 62,662.52 and 14,073 is: 21,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,775 : 62,662.52 = 14,073 : x
  2. Step 2: Convert to fraction form
    41,775/62,662.52 = 14,073/x
  3. Step 3: Cross multiply
    41,775x = 62,662.52 × 14,073
  4. Step 4: Simplify right side
    41,775x = 881,849,643.96
  5. Step 5: Solve for x
    x = 881,849,643.96/41,775
  6. Step 6: Final answer
    x = 21,109.51

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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.