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Finding the Fourth Proportional to 34,205.40, 51,308.10 and 31,872.60

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Solution

The fourth proportional to 34,205.40, 51,308.10 and 31,872.60 is: 47,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.40 : 51,308.10 = 31,872.60 : x
  2. Step 2: Convert to fraction form
    34,205.40/51,308.10 = 31,872.60/x
  3. Step 3: Cross multiply
    34,205.40x = 51,308.10 × 31,872.60
  4. Step 4: Simplify right side
    34,205.40x = 1,635,322,548.06
  5. Step 5: Solve for x
    x = 1,635,322,548.06/34,205.40
  6. Step 6: Final answer
    x = 47,808.90

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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.