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Finding the Fourth Proportional to 105,422.64, 158,111.13 and 33,381.24

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Solution

The fourth proportional to 105,422.64, 158,111.13 and 33,381.24 is: 50,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.64 : 158,111.13 = 33,381.24 : x
  2. Step 2: Convert to fraction form
    105,422.64/158,111.13 = 33,381.24/x
  3. Step 3: Cross multiply
    105,422.64x = 158,111.13 × 33,381.24
  4. Step 4: Simplify right side
    105,422.64x = 5,277,945,577.20
  5. Step 5: Solve for x
    x = 5,277,945,577.20/105,422.64
  6. Step 6: Final answer
    x = 50,064.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.