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Finding the Fourth Proportional to 105,410.49, 158,126.84 and 34,338.69

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Solution

The fourth proportional to 105,410.49, 158,126.84 and 34,338.69 is: 51,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410.49 : 158,126.84 = 34,338.69 : x
  2. Step 2: Convert to fraction form
    105,410.49/158,126.84 = 34,338.69/x
  3. Step 3: Cross multiply
    105,410.49x = 158,126.84 × 34,338.69
  4. Step 4: Simplify right side
    105,410.49x = 5,429,868,367.75
  5. Step 5: Solve for x
    x = 5,429,868,367.75/105,410.49
  6. Step 6: Final answer
    x = 51,511.65

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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.