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Finding the Fourth Proportional to 50,776.74, 76,167.50 and 30,807.59

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Solution

The fourth proportional to 50,776.74, 76,167.50 and 30,807.59 is: 46,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,776.74 : 76,167.50 = 30,807.59 : x
  2. Step 2: Convert to fraction form
    50,776.74/76,167.50 = 30,807.59/x
  3. Step 3: Cross multiply
    50,776.74x = 76,167.50 × 30,807.59
  4. Step 4: Simplify right side
    50,776.74x = 2,346,536,576.45
  5. Step 5: Solve for x
    x = 2,346,536,576.45/50,776.74
  6. Step 6: Final answer
    x = 46,212.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.