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Finding the Fourth Proportional to 58,059.26, 80,129.20 and 34,188.16

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Solution

The fourth proportional to 58,059.26, 80,129.20 and 34,188.16 is: 47,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,059.26 : 80,129.20 = 34,188.16 : x
  2. Step 2: Convert to fraction form
    58,059.26/80,129.20 = 34,188.16/x
  3. Step 3: Cross multiply
    58,059.26x = 80,129.20 × 34,188.16
  4. Step 4: Simplify right side
    58,059.26x = 2,739,469,539.01
  5. Step 5: Solve for x
    x = 2,739,469,539.01/58,059.26
  6. Step 6: Final answer
    x = 47,184.02

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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.