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Finding the Fourth Proportional to 54,358.85, 74,945.76 and 35,204.78

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Solution

The fourth proportional to 54,358.85, 74,945.76 and 35,204.78 is: 48,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.85 : 74,945.76 = 35,204.78 : x
  2. Step 2: Convert to fraction form
    54,358.85/74,945.76 = 35,204.78/x
  3. Step 3: Cross multiply
    54,358.85x = 74,945.76 × 35,204.78
  4. Step 4: Simplify right side
    54,358.85x = 2,638,448,992.73
  5. Step 5: Solve for x
    x = 2,638,448,992.73/54,358.85
  6. Step 6: Final answer
    x = 48,537.62

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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.