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Finding the Fourth Proportional to 41,920, 57,851.20 and 23,056.72

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Solution

The fourth proportional to 41,920, 57,851.20 and 23,056.72 is: 31,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920 : 57,851.20 = 23,056.72 : x
  2. Step 2: Convert to fraction form
    41,920/57,851.20 = 23,056.72/x
  3. Step 3: Cross multiply
    41,920x = 57,851.20 × 23,056.72
  4. Step 4: Simplify right side
    41,920x = 1,333,858,920.06
  5. Step 5: Solve for x
    x = 1,333,858,920.06/41,920
  6. Step 6: Final answer
    x = 31,819.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.