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Finding the Fourth Proportional to 52,777.84, 79,170 and 23,209.60

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Solution

The fourth proportional to 52,777.84, 79,170 and 23,209.60 is: 34,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,777.84 : 79,170 = 23,209.60 : x
  2. Step 2: Convert to fraction form
    52,777.84/79,170 = 23,209.60/x
  3. Step 3: Cross multiply
    52,777.84x = 79,170 × 23,209.60
  4. Step 4: Simplify right side
    52,777.84x = 1,837,504,032
  5. Step 5: Solve for x
    x = 1,837,504,032/52,777.84
  6. Step 6: Final answer
    x = 34,815.82

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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.