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Finding the Fourth Proportional to 54,895.54, 75,756.43 and 32,234.80

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Solution

The fourth proportional to 54,895.54, 75,756.43 and 32,234.80 is: 44,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,895.54 : 75,756.43 = 32,234.80 : x
  2. Step 2: Convert to fraction form
    54,895.54/75,756.43 = 32,234.80/x
  3. Step 3: Cross multiply
    54,895.54x = 75,756.43 × 32,234.80
  4. Step 4: Simplify right side
    54,895.54x = 2,441,993,220.67
  5. Step 5: Solve for x
    x = 2,441,993,220.67/54,895.54
  6. Step 6: Final answer
    x = 44,484.37

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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.