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Finding the Fourth Proportional to 31,518, 47,285.10 and 11,796.84

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Solution

The fourth proportional to 31,518, 47,285.10 and 11,796.84 is: 17,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518 : 47,285.10 = 11,796.84 : x
  2. Step 2: Convert to fraction form
    31,518/47,285.10 = 11,796.84/x
  3. Step 3: Cross multiply
    31,518x = 47,285.10 × 11,796.84
  4. Step 4: Simplify right side
    31,518x = 557,814,759.08
  5. Step 5: Solve for x
    x = 557,814,759.08/31,518
  6. Step 6: Final answer
    x = 17,698.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.