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Finding the Fourth Proportional to 35,977.20, 53,965.80 and 11,353.20

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Solution

The fourth proportional to 35,977.20, 53,965.80 and 11,353.20 is: 17,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.20 : 53,965.80 = 11,353.20 : x
  2. Step 2: Convert to fraction form
    35,977.20/53,965.80 = 11,353.20/x
  3. Step 3: Cross multiply
    35,977.20x = 53,965.80 × 11,353.20
  4. Step 4: Simplify right side
    35,977.20x = 612,684,520.56
  5. Step 5: Solve for x
    x = 612,684,520.56/35,977.20
  6. Step 6: Final answer
    x = 17,029.80

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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.