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Finding the Fourth Proportional to 34,331.16, 51,498.90 and 12,142.20

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Solution

The fourth proportional to 34,331.16, 51,498.90 and 12,142.20 is: 18,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,331.16 : 51,498.90 = 12,142.20 : x
  2. Step 2: Convert to fraction form
    34,331.16/51,498.90 = 12,142.20/x
  3. Step 3: Cross multiply
    34,331.16x = 51,498.90 × 12,142.20
  4. Step 4: Simplify right side
    34,331.16x = 625,309,943.58
  5. Step 5: Solve for x
    x = 625,309,943.58/34,331.16
  6. Step 6: Final answer
    x = 18,214.06

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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.