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Finding the Fourth Proportional to 47,938.20, 71,931.56 and 32,323

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Solution

The fourth proportional to 47,938.20, 71,931.56 and 32,323 is: 48,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,938.20 : 71,931.56 = 32,323 : x
  2. Step 2: Convert to fraction form
    47,938.20/71,931.56 = 32,323/x
  3. Step 3: Cross multiply
    47,938.20x = 71,931.56 × 32,323
  4. Step 4: Simplify right side
    47,938.20x = 2,325,043,813.88
  5. Step 5: Solve for x
    x = 2,325,043,813.88/47,938.20
  6. Step 6: Final answer
    x = 48,500.86

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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.