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Finding the Fourth Proportional to 31,954.14, 47,874.96 and 28,475.10

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Solution

The fourth proportional to 31,954.14, 47,874.96 and 28,475.10 is: 42,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.14 : 47,874.96 = 28,475.10 : x
  2. Step 2: Convert to fraction form
    31,954.14/47,874.96 = 28,475.10/x
  3. Step 3: Cross multiply
    31,954.14x = 47,874.96 × 28,475.10
  4. Step 4: Simplify right side
    31,954.14x = 1,363,244,273.50
  5. Step 5: Solve for x
    x = 1,363,244,273.50/31,954.14
  6. Step 6: Final answer
    x = 42,662.52

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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.