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Finding the Fourth Proportional to 83,376, 115,059.96 and 45,649.44

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Solution

The fourth proportional to 83,376, 115,059.96 and 45,649.44 is: 62,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376 : 115,059.96 = 45,649.44 : x
  2. Step 2: Convert to fraction form
    83,376/115,059.96 = 45,649.44/x
  3. Step 3: Cross multiply
    83,376x = 115,059.96 × 45,649.44
  4. Step 4: Simplify right side
    83,376x = 5,252,422,740.42
  5. Step 5: Solve for x
    x = 5,252,422,740.42/83,376
  6. Step 6: Final answer
    x = 62,996.82

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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.