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Finding the Fourth Proportional to 82,245.34, 123,349.56 and 37,829.42

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Solution

The fourth proportional to 82,245.34, 123,349.56 and 37,829.42 is: 56,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,245.34 : 123,349.56 = 37,829.42 : x
  2. Step 2: Convert to fraction form
    82,245.34/123,349.56 = 37,829.42/x
  3. Step 3: Cross multiply
    82,245.34x = 123,349.56 × 37,829.42
  4. Step 4: Simplify right side
    82,245.34x = 4,666,242,122.91
  5. Step 5: Solve for x
    x = 4,666,242,122.91/82,245.34
  6. Step 6: Final answer
    x = 56,735.64

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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.