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Finding the Fourth Proportional to 54,908.38, 75,775.32 and 35,800.50

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Solution

The fourth proportional to 54,908.38, 75,775.32 and 35,800.50 is: 49,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,908.38 : 75,775.32 = 35,800.50 : x
  2. Step 2: Convert to fraction form
    54,908.38/75,775.32 = 35,800.50/x
  3. Step 3: Cross multiply
    54,908.38x = 75,775.32 × 35,800.50
  4. Step 4: Simplify right side
    54,908.38x = 2,712,794,054.28
  5. Step 5: Solve for x
    x = 2,712,794,054.28/54,908.38
  6. Step 6: Final answer
    x = 49,405.83

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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.