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Finding the Fourth Proportional to 31,783.60, 47,683.68 and 12,062.56

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Solution

The fourth proportional to 31,783.60, 47,683.68 and 12,062.56 is: 18,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.60 : 47,683.68 = 12,062.56 : x
  2. Step 2: Convert to fraction form
    31,783.60/47,683.68 = 12,062.56/x
  3. Step 3: Cross multiply
    31,783.60x = 47,683.68 × 12,062.56
  4. Step 4: Simplify right side
    31,783.60x = 575,187,251.02
  5. Step 5: Solve for x
    x = 575,187,251.02/31,783.60
  6. Step 6: Final answer
    x = 18,096.98

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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.