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Finding the Fourth Proportional to 31,216.75, 46,829.79 and 11,493.79

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Solution

The fourth proportional to 31,216.75, 46,829.79 and 11,493.79 is: 17,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.75 : 46,829.79 = 11,493.79 : x
  2. Step 2: Convert to fraction form
    31,216.75/46,829.79 = 11,493.79/x
  3. Step 3: Cross multiply
    31,216.75x = 46,829.79 × 11,493.79
  4. Step 4: Simplify right side
    31,216.75x = 538,251,772.00
  5. Step 5: Solve for x
    x = 538,251,772.00/31,216.75
  6. Step 6: Final answer
    x = 17,242.40

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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.