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Finding the Fourth Proportional to 50,498.78, 75,730.45 and 27,698.05

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Solution

The fourth proportional to 50,498.78, 75,730.45 and 27,698.05 is: 41,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498.78 : 75,730.45 = 27,698.05 : x
  2. Step 2: Convert to fraction form
    50,498.78/75,730.45 = 27,698.05/x
  3. Step 3: Cross multiply
    50,498.78x = 75,730.45 × 27,698.05
  4. Step 4: Simplify right side
    50,498.78x = 2,097,585,273.48
  5. Step 5: Solve for x
    x = 2,097,585,273.48/50,498.78
  6. Step 6: Final answer
    x = 41,537.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.