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Finding the Fourth Proportional to 106,541.67, 159,771 and 39,945.48

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Solution

The fourth proportional to 106,541.67, 159,771 and 39,945.48 is: 59,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,541.67 : 159,771 = 39,945.48 : x
  2. Step 2: Convert to fraction form
    106,541.67/159,771 = 39,945.48/x
  3. Step 3: Cross multiply
    106,541.67x = 159,771 × 39,945.48
  4. Step 4: Simplify right side
    106,541.67x = 6,382,129,285.08
  5. Step 5: Solve for x
    x = 6,382,129,285.08/106,541.67
  6. Step 6: Final answer
    x = 59,902.66

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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.