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Finding the Fourth Proportional to 34,261.40, 51,359.70 and 20,232.20

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Solution

The fourth proportional to 34,261.40, 51,359.70 and 20,232.20 is: 30,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,261.40 : 51,359.70 = 20,232.20 : x
  2. Step 2: Convert to fraction form
    34,261.40/51,359.70 = 20,232.20/x
  3. Step 3: Cross multiply
    34,261.40x = 51,359.70 × 20,232.20
  4. Step 4: Simplify right side
    34,261.40x = 1,039,119,722.34
  5. Step 5: Solve for x
    x = 1,039,119,722.34/34,261.40
  6. Step 6: Final answer
    x = 30,329.17

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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.