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Finding the Fourth Proportional to 105,419.64, 158,106.63 and 33,378.24

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Solution

The fourth proportional to 105,419.64, 158,106.63 and 33,378.24 is: 50,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,419.64 : 158,106.63 = 33,378.24 : x
  2. Step 2: Convert to fraction form
    105,419.64/158,106.63 = 33,378.24/x
  3. Step 3: Cross multiply
    105,419.64x = 158,106.63 × 33,378.24
  4. Step 4: Simplify right side
    105,419.64x = 5,277,321,041.73
  5. Step 5: Solve for x
    x = 5,277,321,041.73/105,419.64
  6. Step 6: Final answer
    x = 50,060.13

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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.