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Finding the Fourth Proportional to 49,274.64, 67,999.08 and 28,053.92

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Solution

The fourth proportional to 49,274.64, 67,999.08 and 28,053.92 is: 38,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,274.64 : 67,999.08 = 28,053.92 : x
  2. Step 2: Convert to fraction form
    49,274.64/67,999.08 = 28,053.92/x
  3. Step 3: Cross multiply
    49,274.64x = 67,999.08 × 28,053.92
  4. Step 4: Simplify right side
    49,274.64x = 1,907,640,410.40
  5. Step 5: Solve for x
    x = 1,907,640,410.40/49,274.64
  6. Step 6: Final answer
    x = 38,714.45

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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.