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Finding the Fourth Proportional to 71,949.46, 99,245.38 and 46,446

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Solution

The fourth proportional to 71,949.46, 99,245.38 and 46,446 is: 64,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,949.46 : 99,245.38 = 46,446 : x
  2. Step 2: Convert to fraction form
    71,949.46/99,245.38 = 46,446/x
  3. Step 3: Cross multiply
    71,949.46x = 99,245.38 × 46,446
  4. Step 4: Simplify right side
    71,949.46x = 4,609,550,919.48
  5. Step 5: Solve for x
    x = 4,609,550,919.48/71,949.46
  6. Step 6: Final answer
    x = 64,066.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.