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Finding the Fourth Proportional to 31,205.20, 46,807.80 and 13,709.20

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Solution

The fourth proportional to 31,205.20, 46,807.80 and 13,709.20 is: 20,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.20 : 46,807.80 = 13,709.20 : x
  2. Step 2: Convert to fraction form
    31,205.20/46,807.80 = 13,709.20/x
  3. Step 3: Cross multiply
    31,205.20x = 46,807.80 × 13,709.20
  4. Step 4: Simplify right side
    31,205.20x = 641,697,491.76
  5. Step 5: Solve for x
    x = 641,697,491.76/31,205.20
  6. Step 6: Final answer
    x = 20,563.80

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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.