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Finding the Fourth Proportional to 49,765.92, 74,629.92 and 16,480.32

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Solution

The fourth proportional to 49,765.92, 74,629.92 and 16,480.32 is: 24,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,765.92 : 74,629.92 = 16,480.32 : x
  2. Step 2: Convert to fraction form
    49,765.92/74,629.92 = 16,480.32/x
  3. Step 3: Cross multiply
    49,765.92x = 74,629.92 × 16,480.32
  4. Step 4: Simplify right side
    49,765.92x = 1,229,924,963.17
  5. Step 5: Solve for x
    x = 1,229,924,963.17/49,765.92
  6. Step 6: Final answer
    x = 24,714.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.