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Finding the Fourth Proportional to 34,657.80, 52,004.70 and 16,189.80

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Solution

The fourth proportional to 34,657.80, 52,004.70 and 16,189.80 is: 24,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.80 : 52,004.70 = 16,189.80 : x
  2. Step 2: Convert to fraction form
    34,657.80/52,004.70 = 16,189.80/x
  3. Step 3: Cross multiply
    34,657.80x = 52,004.70 × 16,189.80
  4. Step 4: Simplify right side
    34,657.80x = 841,945,692.06
  5. Step 5: Solve for x
    x = 841,945,692.06/34,657.80
  6. Step 6: Final answer
    x = 24,293.11

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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.