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Finding the Fourth Proportional to 77,757.38, 107,356.83 and 59,820.74

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Solution

The fourth proportional to 77,757.38, 107,356.83 and 59,820.74 is: 82,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,757.38 : 107,356.83 = 59,820.74 : x
  2. Step 2: Convert to fraction form
    77,757.38/107,356.83 = 59,820.74/x
  3. Step 3: Cross multiply
    77,757.38x = 107,356.83 × 59,820.74
  4. Step 4: Simplify right side
    77,757.38x = 6,422,165,014.65
  5. Step 5: Solve for x
    x = 6,422,165,014.65/77,757.38
  6. Step 6: Final answer
    x = 82,592.35

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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.