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Finding the Fourth Proportional to 34,239.40, 51,326.70 and 20,210.20

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Solution

The fourth proportional to 34,239.40, 51,326.70 and 20,210.20 is: 30,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,239.40 : 51,326.70 = 20,210.20 : x
  2. Step 2: Convert to fraction form
    34,239.40/51,326.70 = 20,210.20/x
  3. Step 3: Cross multiply
    34,239.40x = 51,326.70 × 20,210.20
  4. Step 4: Simplify right side
    34,239.40x = 1,037,322,872.34
  5. Step 5: Solve for x
    x = 1,037,322,872.34/34,239.40
  6. Step 6: Final answer
    x = 30,296.18

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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.