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Finding the Fourth Proportional to 54,595.50, 81,805.50 and 45,847.50

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Solution

The fourth proportional to 54,595.50, 81,805.50 and 45,847.50 is: 68,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,595.50 : 81,805.50 = 45,847.50 : x
  2. Step 2: Convert to fraction form
    54,595.50/81,805.50 = 45,847.50/x
  3. Step 3: Cross multiply
    54,595.50x = 81,805.50 × 45,847.50
  4. Step 4: Simplify right side
    54,595.50x = 3,750,577,661.25
  5. Step 5: Solve for x
    x = 3,750,577,661.25/54,595.50
  6. Step 6: Final answer
    x = 68,697.56

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Why These Related Problems?

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