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Finding the Fourth Proportional to 31,471.19, 47,206.79 and 30,104.54

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Solution

The fourth proportional to 31,471.19, 47,206.79 and 30,104.54 is: 45,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.19 : 47,206.79 = 30,104.54 : x
  2. Step 2: Convert to fraction form
    31,471.19/47,206.79 = 30,104.54/x
  3. Step 3: Cross multiply
    31,471.19x = 47,206.79 × 30,104.54
  4. Step 4: Simplify right side
    31,471.19x = 1,421,138,537.05
  5. Step 5: Solve for x
    x = 1,421,138,537.05/31,471.19
  6. Step 6: Final answer
    x = 45,156.81

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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.