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Finding the Fourth Proportional to 35,890.84, 53,777.01 and 20,855.75

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Solution

The fourth proportional to 35,890.84, 53,777.01 and 20,855.75 is: 31,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890.84 : 53,777.01 = 20,855.75 : x
  2. Step 2: Convert to fraction form
    35,890.84/53,777.01 = 20,855.75/x
  3. Step 3: Cross multiply
    35,890.84x = 53,777.01 × 20,855.75
  4. Step 4: Simplify right side
    35,890.84x = 1,121,559,607.42
  5. Step 5: Solve for x
    x = 1,121,559,607.42/35,890.84
  6. Step 6: Final answer
    x = 31,249.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.