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Finding the Fourth Proportional to 49,128, 67,797.12 and 26,772.48

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Solution

The fourth proportional to 49,128, 67,797.12 and 26,772.48 is: 36,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,128 : 67,797.12 = 26,772.48 : x
  2. Step 2: Convert to fraction form
    49,128/67,797.12 = 26,772.48/x
  3. Step 3: Cross multiply
    49,128x = 67,797.12 × 26,772.48
  4. Step 4: Simplify right side
    49,128x = 1,815,097,039.26
  5. Step 5: Solve for x
    x = 1,815,097,039.26/49,128
  6. Step 6: Final answer
    x = 36,946.28

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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.