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Finding the Fourth Proportional to 49,033.76, 67,680.48 and 28,902.32

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Solution

The fourth proportional to 49,033.76, 67,680.48 and 28,902.32 is: 39,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,033.76 : 67,680.48 = 28,902.32 : x
  2. Step 2: Convert to fraction form
    49,033.76/67,680.48 = 28,902.32/x
  3. Step 3: Cross multiply
    49,033.76x = 67,680.48 × 28,902.32
  4. Step 4: Simplify right side
    49,033.76x = 1,956,122,890.71
  5. Step 5: Solve for x
    x = 1,956,122,890.71/49,033.76
  6. Step 6: Final answer
    x = 39,893.39

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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.