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Finding the Fourth Proportional to 54,895.50, 75,755.88 and 29,745

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Solution

The fourth proportional to 54,895.50, 75,755.88 and 29,745 is: 41,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,895.50 : 75,755.88 = 29,745 : x
  2. Step 2: Convert to fraction form
    54,895.50/75,755.88 = 29,745/x
  3. Step 3: Cross multiply
    54,895.50x = 75,755.88 × 29,745
  4. Step 4: Simplify right side
    54,895.50x = 2,253,358,650.60
  5. Step 5: Solve for x
    x = 2,253,358,650.60/54,895.50
  6. Step 6: Final answer
    x = 41,048.15

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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.