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Finding the Fourth Proportional to 58,072.30, 80,141.34 and 34,194.58

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Solution

The fourth proportional to 58,072.30, 80,141.34 and 34,194.58 is: 47,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,072.30 : 80,141.34 = 34,194.58 : x
  2. Step 2: Convert to fraction form
    58,072.30/80,141.34 = 34,194.58/x
  3. Step 3: Cross multiply
    58,072.30x = 80,141.34 × 34,194.58
  4. Step 4: Simplify right side
    58,072.30x = 2,740,399,461.94
  5. Step 5: Solve for x
    x = 2,740,399,461.94/58,072.30
  6. Step 6: Final answer
    x = 47,189.44

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