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Finding the Fourth Proportional to 50,605.58, 75,806.84 and 46,471.88

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Solution

The fourth proportional to 50,605.58, 75,806.84 and 46,471.88 is: 69,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,605.58 : 75,806.84 = 46,471.88 : x
  2. Step 2: Convert to fraction form
    50,605.58/75,806.84 = 46,471.88/x
  3. Step 3: Cross multiply
    50,605.58x = 75,806.84 × 46,471.88
  4. Step 4: Simplify right side
    50,605.58x = 3,522,886,371.66
  5. Step 5: Solve for x
    x = 3,522,886,371.66/50,605.58
  6. Step 6: Final answer
    x = 69,614.58

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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.