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Finding the Fourth Proportional to 31,385.67, 46,888.85 and 20,201.19

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Solution

The fourth proportional to 31,385.67, 46,888.85 and 20,201.19 is: 30,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.67 : 46,888.85 = 20,201.19 : x
  2. Step 2: Convert to fraction form
    31,385.67/46,888.85 = 20,201.19/x
  3. Step 3: Cross multiply
    31,385.67x = 46,888.85 × 20,201.19
  4. Step 4: Simplify right side
    31,385.67x = 947,210,466.73
  5. Step 5: Solve for x
    x = 947,210,466.73/31,385.67
  6. Step 6: Final answer
    x = 30,179.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.