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Finding the Fourth Proportional to 120,694.50, 181,071 and 37,588.50

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Solution

The fourth proportional to 120,694.50, 181,071 and 37,588.50 is: 56,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,694.50 : 181,071 = 37,588.50 : x
  2. Step 2: Convert to fraction form
    120,694.50/181,071 = 37,588.50/x
  3. Step 3: Cross multiply
    120,694.50x = 181,071 × 37,588.50
  4. Step 4: Simplify right side
    120,694.50x = 6,806,187,283.50
  5. Step 5: Solve for x
    x = 6,806,187,283.50/120,694.50
  6. Step 6: Final answer
    x = 56,391.86

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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.