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Finding the Fourth Proportional to 45,880.38, 63,288.09 and 28,857.78

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Solution

The fourth proportional to 45,880.38, 63,288.09 and 28,857.78 is: 39,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,880.38 : 63,288.09 = 28,857.78 : x
  2. Step 2: Convert to fraction form
    45,880.38/63,288.09 = 28,857.78/x
  3. Step 3: Cross multiply
    45,880.38x = 63,288.09 × 28,857.78
  4. Step 4: Simplify right side
    45,880.38x = 1,826,353,777.84
  5. Step 5: Solve for x
    x = 1,826,353,777.84/45,880.38
  6. Step 6: Final answer
    x = 39,806.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.