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Finding the Fourth Proportional to 31,912.60, 47,894.40 and 14,383.78

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Solution

The fourth proportional to 31,912.60, 47,894.40 and 14,383.78 is: 21,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.60 : 47,894.40 = 14,383.78 : x
  2. Step 2: Convert to fraction form
    31,912.60/47,894.40 = 14,383.78/x
  3. Step 3: Cross multiply
    31,912.60x = 47,894.40 × 14,383.78
  4. Step 4: Simplify right side
    31,912.60x = 688,902,512.83
  5. Step 5: Solve for x
    x = 688,902,512.83/31,912.60
  6. Step 6: Final answer
    x = 21,587.16

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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.