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Finding the Fourth Proportional to 82,379.50, 123,525.51 and 37,983.40

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Solution

The fourth proportional to 82,379.50, 123,525.51 and 37,983.40 is: 56,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,379.50 : 123,525.51 = 37,983.40 : x
  2. Step 2: Convert to fraction form
    82,379.50/123,525.51 = 37,983.40/x
  3. Step 3: Cross multiply
    82,379.50x = 123,525.51 × 37,983.40
  4. Step 4: Simplify right side
    82,379.50x = 4,691,918,856.53
  5. Step 5: Solve for x
    x = 4,691,918,856.53/82,379.50
  6. Step 6: Final answer
    x = 56,954.93

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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.