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Finding the Fourth Proportional to 31,216.25, 46,829.03 and 11,493.29

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Solution

The fourth proportional to 31,216.25, 46,829.03 and 11,493.29 is: 17,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.25 : 46,829.03 = 11,493.29 : x
  2. Step 2: Convert to fraction form
    31,216.25/46,829.03 = 11,493.29/x
  3. Step 3: Cross multiply
    31,216.25x = 46,829.03 × 11,493.29
  4. Step 4: Simplify right side
    31,216.25x = 538,219,622.21
  5. Step 5: Solve for x
    x = 538,219,622.21/31,216.25
  6. Step 6: Final answer
    x = 17,241.65

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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.