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Finding the Fourth Proportional to 50,975.76, 76,463.64 and 19,811

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Solution

The fourth proportional to 50,975.76, 76,463.64 and 19,811 is: 29,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,975.76 : 76,463.64 = 19,811 : x
  2. Step 2: Convert to fraction form
    50,975.76/76,463.64 = 19,811/x
  3. Step 3: Cross multiply
    50,975.76x = 76,463.64 × 19,811
  4. Step 4: Simplify right side
    50,975.76x = 1,514,821,172.04
  5. Step 5: Solve for x
    x = 1,514,821,172.04/50,975.76
  6. Step 6: Final answer
    x = 29,716.50

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1.5x scale

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.