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Finding the Fourth Proportional to 34,243.40, 51,332.70 and 20,214.20

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Solution

The fourth proportional to 34,243.40, 51,332.70 and 20,214.20 is: 30,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,243.40 : 51,332.70 = 20,214.20 : x
  2. Step 2: Convert to fraction form
    34,243.40/51,332.70 = 20,214.20/x
  3. Step 3: Cross multiply
    34,243.40x = 51,332.70 × 20,214.20
  4. Step 4: Simplify right side
    34,243.40x = 1,037,649,464.34
  5. Step 5: Solve for x
    x = 1,037,649,464.34/34,243.40
  6. Step 6: Final answer
    x = 30,302.17

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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.