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Finding the Fourth Proportional to 31,632.96, 47,380.80 and 20,503.56

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Solution

The fourth proportional to 31,632.96, 47,380.80 and 20,503.56 is: 30,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,632.96 : 47,380.80 = 20,503.56 : x
  2. Step 2: Convert to fraction form
    31,632.96/47,380.80 = 20,503.56/x
  3. Step 3: Cross multiply
    31,632.96x = 47,380.80 × 20,503.56
  4. Step 4: Simplify right side
    31,632.96x = 971,475,075.65
  5. Step 5: Solve for x
    x = 971,475,075.65/31,632.96
  6. Step 6: Final answer
    x = 30,710.85

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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.