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Finding the Fourth Proportional to 31,409.60, 47,123.55 and 12,680.06

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Solution

The fourth proportional to 31,409.60, 47,123.55 and 12,680.06 is: 19,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.60 : 47,123.55 = 12,680.06 : x
  2. Step 2: Convert to fraction form
    31,409.60/47,123.55 = 12,680.06/x
  3. Step 3: Cross multiply
    31,409.60x = 47,123.55 × 12,680.06
  4. Step 4: Simplify right side
    31,409.60x = 597,529,205.80
  5. Step 5: Solve for x
    x = 597,529,205.80/31,409.60
  6. Step 6: Final answer
    x = 19,023.78

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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.