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Finding the Fourth Proportional to 49,747.32, 68,639.46 and 28,232.30

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Solution

The fourth proportional to 49,747.32, 68,639.46 and 28,232.30 is: 38,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,747.32 : 68,639.46 = 28,232.30 : x
  2. Step 2: Convert to fraction form
    49,747.32/68,639.46 = 28,232.30/x
  3. Step 3: Cross multiply
    49,747.32x = 68,639.46 × 28,232.30
  4. Step 4: Simplify right side
    49,747.32x = 1,937,849,826.56
  5. Step 5: Solve for x
    x = 1,937,849,826.56/49,747.32
  6. Step 6: Final answer
    x = 38,953.85

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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.