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Finding the Fourth Proportional to 77,694.98, 107,203.02 and 45,423.38

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Solution

The fourth proportional to 77,694.98, 107,203.02 and 45,423.38 is: 62,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,694.98 : 107,203.02 = 45,423.38 : x
  2. Step 2: Convert to fraction form
    77,694.98/107,203.02 = 45,423.38/x
  3. Step 3: Cross multiply
    77,694.98x = 107,203.02 × 45,423.38
  4. Step 4: Simplify right side
    77,694.98x = 4,869,523,514.61
  5. Step 5: Solve for x
    x = 4,869,523,514.61/77,694.98
  6. Step 6: Final answer
    x = 62,674.88

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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.