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Finding the Fourth Proportional to 31,791.84, 47,629.64 and 14,893.84

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Solution

The fourth proportional to 31,791.84, 47,629.64 and 14,893.84 is: 22,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.84 : 47,629.64 = 14,893.84 : x
  2. Step 2: Convert to fraction form
    31,791.84/47,629.64 = 14,893.84/x
  3. Step 3: Cross multiply
    31,791.84x = 47,629.64 × 14,893.84
  4. Step 4: Simplify right side
    31,791.84x = 709,388,237.42
  5. Step 5: Solve for x
    x = 709,388,237.42/31,791.84
  6. Step 6: Final answer
    x = 22,313.53

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1.5x scale

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.