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Finding the Fourth Proportional to 54,795, 75,617.10 and 29,644.50

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Solution

The fourth proportional to 54,795, 75,617.10 and 29,644.50 is: 40,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,795 : 75,617.10 = 29,644.50 : x
  2. Step 2: Convert to fraction form
    54,795/75,617.10 = 29,644.50/x
  3. Step 3: Cross multiply
    54,795x = 75,617.10 × 29,644.50
  4. Step 4: Simplify right side
    54,795x = 2,241,631,120.95
  5. Step 5: Solve for x
    x = 2,241,631,120.95/54,795
  6. Step 6: Final answer
    x = 40,909.41

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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.