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Finding the Fourth Proportional to 50,743, 76,114.77 and 13,807

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Solution

The fourth proportional to 50,743, 76,114.77 and 13,807 is: 20,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,743 : 76,114.77 = 13,807 : x
  2. Step 2: Convert to fraction form
    50,743/76,114.77 = 13,807/x
  3. Step 3: Cross multiply
    50,743x = 76,114.77 × 13,807
  4. Step 4: Simplify right side
    50,743x = 1,050,916,629.39
  5. Step 5: Solve for x
    x = 1,050,916,629.39/50,743
  6. Step 6: Final answer
    x = 20,710.57

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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.