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Finding the Fourth Proportional to 31,881.75, 47,802.12 and 12,149.54

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Solution

The fourth proportional to 31,881.75, 47,802.12 and 12,149.54 is: 18,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.75 : 47,802.12 = 12,149.54 : x
  2. Step 2: Convert to fraction form
    31,881.75/47,802.12 = 12,149.54/x
  3. Step 3: Cross multiply
    31,881.75x = 47,802.12 × 12,149.54
  4. Step 4: Simplify right side
    31,881.75x = 580,773,530.01
  5. Step 5: Solve for x
    x = 580,773,530.01/31,881.75
  6. Step 6: Final answer
    x = 18,216.49

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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.