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Finding the Fourth Proportional to 34,201.80, 51,302.70 and 16,705.80

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Solution

The fourth proportional to 34,201.80, 51,302.70 and 16,705.80 is: 25,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.80 : 51,302.70 = 16,705.80 : x
  2. Step 2: Convert to fraction form
    34,201.80/51,302.70 = 16,705.80/x
  3. Step 3: Cross multiply
    34,201.80x = 51,302.70 × 16,705.80
  4. Step 4: Simplify right side
    34,201.80x = 857,052,645.66
  5. Step 5: Solve for x
    x = 857,052,645.66/34,201.80
  6. Step 6: Final answer
    x = 25,058.70

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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.