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Finding the Fourth Proportional to 54,699.90, 75,435.75 and 35,847.42

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Solution

The fourth proportional to 54,699.90, 75,435.75 and 35,847.42 is: 49,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699.90 : 75,435.75 = 35,847.42 : x
  2. Step 2: Convert to fraction form
    54,699.90/75,435.75 = 35,847.42/x
  3. Step 3: Cross multiply
    54,699.90x = 75,435.75 × 35,847.42
  4. Step 4: Simplify right side
    54,699.90x = 2,704,177,013.27
  5. Step 5: Solve for x
    x = 2,704,177,013.27/54,699.90
  6. Step 6: Final answer
    x = 49,436.60

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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.