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Finding the Fourth Proportional to 35,740.68, 53,616.50 and 10,777.42

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Solution

The fourth proportional to 35,740.68, 53,616.50 and 10,777.42 is: 16,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.68 : 53,616.50 = 10,777.42 : x
  2. Step 2: Convert to fraction form
    35,740.68/53,616.50 = 10,777.42/x
  3. Step 3: Cross multiply
    35,740.68x = 53,616.50 × 10,777.42
  4. Step 4: Simplify right side
    35,740.68x = 577,847,539.43
  5. Step 5: Solve for x
    x = 577,847,539.43/35,740.68
  6. Step 6: Final answer
    x = 16,167.78

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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.