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Finding the Fourth Proportional to 31,006.20, 46,509.30 and 28,819.20

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Solution

The fourth proportional to 31,006.20, 46,509.30 and 28,819.20 is: 43,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.20 : 46,509.30 = 28,819.20 : x
  2. Step 2: Convert to fraction form
    31,006.20/46,509.30 = 28,819.20/x
  3. Step 3: Cross multiply
    31,006.20x = 46,509.30 × 28,819.20
  4. Step 4: Simplify right side
    31,006.20x = 1,340,360,818.56
  5. Step 5: Solve for x
    x = 1,340,360,818.56/31,006.20
  6. Step 6: Final answer
    x = 43,228.80

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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.