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Finding the Fourth Proportional to 34,415.46, 47,498.19 and 20,080.02

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Solution

The fourth proportional to 34,415.46, 47,498.19 and 20,080.02 is: 27,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.46 : 47,498.19 = 20,080.02 : x
  2. Step 2: Convert to fraction form
    34,415.46/47,498.19 = 20,080.02/x
  3. Step 3: Cross multiply
    34,415.46x = 47,498.19 × 20,080.02
  4. Step 4: Simplify right side
    34,415.46x = 953,764,605.16
  5. Step 5: Solve for x
    x = 953,764,605.16/34,415.46
  6. Step 6: Final answer
    x = 27,713.26

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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.