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Finding the Fourth Proportional to 47,305.50, 70,956.27 and 11,766.84

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Solution

The fourth proportional to 47,305.50, 70,956.27 and 11,766.84 is: 17,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.50 : 70,956.27 = 11,766.84 : x
  2. Step 2: Convert to fraction form
    47,305.50/70,956.27 = 11,766.84/x
  3. Step 3: Cross multiply
    47,305.50x = 70,956.27 × 11,766.84
  4. Step 4: Simplify right side
    47,305.50x = 834,931,076.09
  5. Step 5: Solve for x
    x = 834,931,076.09/47,305.50
  6. Step 6: Final answer
    x = 17,649.77

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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.