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Finding the Fourth Proportional to 34,292.20, 51,438.30 and 12,106.30

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Solution

The fourth proportional to 34,292.20, 51,438.30 and 12,106.30 is: 18,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,292.20 : 51,438.30 = 12,106.30 : x
  2. Step 2: Convert to fraction form
    34,292.20/51,438.30 = 12,106.30/x
  3. Step 3: Cross multiply
    34,292.20x = 51,438.30 × 12,106.30
  4. Step 4: Simplify right side
    34,292.20x = 622,727,491.29
  5. Step 5: Solve for x
    x = 622,727,491.29/34,292.20
  6. Step 6: Final answer
    x = 18,159.45

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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.