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Finding the Fourth Proportional to 53,546.94, 73,895.19 and 29,674

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Solution

The fourth proportional to 53,546.94, 73,895.19 and 29,674 is: 40,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,546.94 : 73,895.19 = 29,674 : x
  2. Step 2: Convert to fraction form
    53,546.94/73,895.19 = 29,674/x
  3. Step 3: Cross multiply
    53,546.94x = 73,895.19 × 29,674
  4. Step 4: Simplify right side
    53,546.94x = 2,192,765,868.06
  5. Step 5: Solve for x
    x = 2,192,765,868.06/53,546.94
  6. Step 6: Final answer
    x = 40,950.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.