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Finding the Fourth Proportional to 105,423.14, 158,111.88 and 33,381.74

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Solution

The fourth proportional to 105,423.14, 158,111.88 and 33,381.74 is: 50,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,423.14 : 158,111.88 = 33,381.74 : x
  2. Step 2: Convert to fraction form
    105,423.14/158,111.88 = 33,381.74/x
  3. Step 3: Cross multiply
    105,423.14x = 158,111.88 × 33,381.74
  4. Step 4: Simplify right side
    105,423.14x = 5,278,049,669.07
  5. Step 5: Solve for x
    x = 5,278,049,669.07/105,423.14
  6. Step 6: Final answer
    x = 50,065.38

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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.