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Finding the Fourth Proportional to 31,383, 43,308.12 and 17,235.60

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Solution

The fourth proportional to 31,383, 43,308.12 and 17,235.60 is: 23,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383 : 43,308.12 = 17,235.60 : x
  2. Step 2: Convert to fraction form
    31,383/43,308.12 = 17,235.60/x
  3. Step 3: Cross multiply
    31,383x = 43,308.12 × 17,235.60
  4. Step 4: Simplify right side
    31,383x = 746,441,433.07
  5. Step 5: Solve for x
    x = 746,441,433.07/31,383
  6. Step 6: Final answer
    x = 23,784.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.