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Finding the Fourth Proportional to 80,076.16, 110,511.92 and 46,540

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Solution

The fourth proportional to 80,076.16, 110,511.92 and 46,540 is: 64,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,076.16 : 110,511.92 = 46,540 : x
  2. Step 2: Convert to fraction form
    80,076.16/110,511.92 = 46,540/x
  3. Step 3: Cross multiply
    80,076.16x = 110,511.92 × 46,540
  4. Step 4: Simplify right side
    80,076.16x = 5,143,224,756.80
  5. Step 5: Solve for x
    x = 5,143,224,756.80/80,076.16
  6. Step 6: Final answer
    x = 64,229.16

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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.