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Finding the Fourth Proportional to 82,245.84, 123,350.30 and 37,829.92

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Solution

The fourth proportional to 82,245.84, 123,350.30 and 37,829.92 is: 56,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,245.84 : 123,350.30 = 37,829.92 : x
  2. Step 2: Convert to fraction form
    82,245.84/123,350.30 = 37,829.92/x
  3. Step 3: Cross multiply
    82,245.84x = 123,350.30 × 37,829.92
  4. Step 4: Simplify right side
    82,245.84x = 4,666,331,980.98
  5. Step 5: Solve for x
    x = 4,666,331,980.98/82,245.84
  6. Step 6: Final answer
    x = 56,736.39

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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.