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Finding the Fourth Proportional to 58,123.81, 80,190.21 and 37,992.30

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Solution

The fourth proportional to 58,123.81, 80,190.21 and 37,992.30 is: 52,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,123.81 : 80,190.21 = 37,992.30 : x
  2. Step 2: Convert to fraction form
    58,123.81/80,190.21 = 37,992.30/x
  3. Step 3: Cross multiply
    58,123.81x = 80,190.21 × 37,992.30
  4. Step 4: Simplify right side
    58,123.81x = 3,046,610,515.38
  5. Step 5: Solve for x
    x = 3,046,610,515.38/58,123.81
  6. Step 6: Final answer
    x = 52,415.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.