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Finding the Fourth Proportional to 50,491, 69,677.60 and 29,282.56

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Solution

The fourth proportional to 50,491, 69,677.60 and 29,282.56 is: 40,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491 : 69,677.60 = 29,282.56 : x
  2. Step 2: Convert to fraction form
    50,491/69,677.60 = 29,282.56/x
  3. Step 3: Cross multiply
    50,491x = 69,677.60 × 29,282.56
  4. Step 4: Simplify right side
    50,491x = 2,040,338,502.66
  5. Step 5: Solve for x
    x = 2,040,338,502.66/50,491
  6. Step 6: Final answer
    x = 40,409.94

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1.5x scale

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.