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Finding the Fourth Proportional to 114,676, 171,969.76 and 44,546.08

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Solution

The fourth proportional to 114,676, 171,969.76 and 44,546.08 is: 66,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,676 : 171,969.76 = 44,546.08 : x
  2. Step 2: Convert to fraction form
    114,676/171,969.76 = 44,546.08/x
  3. Step 3: Cross multiply
    114,676x = 171,969.76 × 44,546.08
  4. Step 4: Simplify right side
    114,676x = 7,660,578,686.54
  5. Step 5: Solve for x
    x = 7,660,578,686.54/114,676
  6. Step 6: Final answer
    x = 66,801.93

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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.