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Finding the Fourth Proportional to 50,537.82, 75,807 and 15,477.42

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Solution

The fourth proportional to 50,537.82, 75,807 and 15,477.42 is: 23,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.82 : 75,807 = 15,477.42 : x
  2. Step 2: Convert to fraction form
    50,537.82/75,807 = 15,477.42/x
  3. Step 3: Cross multiply
    50,537.82x = 75,807 × 15,477.42
  4. Step 4: Simplify right side
    50,537.82x = 1,173,296,777.94
  5. Step 5: Solve for x
    x = 1,173,296,777.94/50,537.82
  6. Step 6: Final answer
    x = 23,216.21

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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.