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Finding the Fourth Proportional to 54,756, 75,563.15 and 29,605.50

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Solution

The fourth proportional to 54,756, 75,563.15 and 29,605.50 is: 40,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,756 : 75,563.15 = 29,605.50 : x
  2. Step 2: Convert to fraction form
    54,756/75,563.15 = 29,605.50/x
  3. Step 3: Cross multiply
    54,756x = 75,563.15 × 29,605.50
  4. Step 4: Simplify right side
    54,756x = 2,237,084,689.30
  5. Step 5: Solve for x
    x = 2,237,084,689.30/54,756
  6. Step 6: Final answer
    x = 40,855.52

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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.