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Finding the Fourth Proportional to 31,515.40, 47,210.70 and 20,429.80

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Solution

The fourth proportional to 31,515.40, 47,210.70 and 20,429.80 is: 30,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515.40 : 47,210.70 = 20,429.80 : x
  2. Step 2: Convert to fraction form
    31,515.40/47,210.70 = 20,429.80/x
  3. Step 3: Cross multiply
    31,515.40x = 47,210.70 × 20,429.80
  4. Step 4: Simplify right side
    31,515.40x = 964,505,158.86
  5. Step 5: Solve for x
    x = 964,505,158.86/31,515.40
  6. Step 6: Final answer
    x = 30,604.25

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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.