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Finding the Fourth Proportional to 55,190.52, 82,788.84 and 15,744.60

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Solution

The fourth proportional to 55,190.52, 82,788.84 and 15,744.60 is: 23,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,190.52 : 82,788.84 = 15,744.60 : x
  2. Step 2: Convert to fraction form
    55,190.52/82,788.84 = 15,744.60/x
  3. Step 3: Cross multiply
    55,190.52x = 82,788.84 × 15,744.60
  4. Step 4: Simplify right side
    55,190.52x = 1,303,477,170.26
  5. Step 5: Solve for x
    x = 1,303,477,170.26/55,190.52
  6. Step 6: Final answer
    x = 23,617.77

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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.