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Finding the Fourth Proportional to 68,425.93, 102,674.13 and 51,780.43

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Solution

The fourth proportional to 68,425.93, 102,674.13 and 51,780.43 is: 77,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,425.93 : 102,674.13 = 51,780.43 : x
  2. Step 2: Convert to fraction form
    68,425.93/102,674.13 = 51,780.43/x
  3. Step 3: Cross multiply
    68,425.93x = 102,674.13 × 51,780.43
  4. Step 4: Simplify right side
    68,425.93x = 5,316,510,601.28
  5. Step 5: Solve for x
    x = 5,316,510,601.28/68,425.93
  6. Step 6: Final answer
    x = 77,697.31

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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.