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Finding the Fourth Proportional to 35,739.68, 53,615 and 10,776.42

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Solution

The fourth proportional to 35,739.68, 53,615 and 10,776.42 is: 16,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,739.68 : 53,615 = 10,776.42 : x
  2. Step 2: Convert to fraction form
    35,739.68/53,615 = 10,776.42/x
  3. Step 3: Cross multiply
    35,739.68x = 53,615 × 10,776.42
  4. Step 4: Simplify right side
    35,739.68x = 577,777,758.30
  5. Step 5: Solve for x
    x = 577,777,758.30/35,739.68
  6. Step 6: Final answer
    x = 16,166.28

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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.