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Finding the Fourth Proportional to 100,895.92, 151,342.50 and 34,382.41

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Solution

The fourth proportional to 100,895.92, 151,342.50 and 34,382.41 is: 51,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,895.92 : 151,342.50 = 34,382.41 : x
  2. Step 2: Convert to fraction form
    100,895.92/151,342.50 = 34,382.41/x
  3. Step 3: Cross multiply
    100,895.92x = 151,342.50 × 34,382.41
  4. Step 4: Simplify right side
    100,895.92x = 5,203,519,885.43
  5. Step 5: Solve for x
    x = 5,203,519,885.43/100,895.92
  6. Step 6: Final answer
    x = 51,573.14

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Why These Related Problems?

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