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Finding the Fourth Proportional to 38,936.64, 53,749.92 and 29,980.80

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Solution

The fourth proportional to 38,936.64, 53,749.92 and 29,980.80 is: 41,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,936.64 : 53,749.92 = 29,980.80 : x
  2. Step 2: Convert to fraction form
    38,936.64/53,749.92 = 29,980.80/x
  3. Step 3: Cross multiply
    38,936.64x = 53,749.92 × 29,980.80
  4. Step 4: Simplify right side
    38,936.64x = 1,611,465,601.54
  5. Step 5: Solve for x
    x = 1,611,465,601.54/38,936.64
  6. Step 6: Final answer
    x = 41,386.87

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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.