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Finding the Fourth Proportional to 35,677.94, 53,514.85 and 10,717.44

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Solution

The fourth proportional to 35,677.94, 53,514.85 and 10,717.44 is: 16,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677.94 : 53,514.85 = 10,717.44 : x
  2. Step 2: Convert to fraction form
    35,677.94/53,514.85 = 10,717.44/x
  3. Step 3: Cross multiply
    35,677.94x = 53,514.85 × 10,717.44
  4. Step 4: Simplify right side
    35,677.94x = 573,542,193.98
  5. Step 5: Solve for x
    x = 573,542,193.98/35,677.94
  6. Step 6: Final answer
    x = 16,075.54

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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.