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Finding the Fourth Proportional to 51,765.60, 77,664.78 and 18,484.92

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Solution

The fourth proportional to 51,765.60, 77,664.78 and 18,484.92 is: 27,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,765.60 : 77,664.78 = 18,484.92 : x
  2. Step 2: Convert to fraction form
    51,765.60/77,664.78 = 18,484.92/x
  3. Step 3: Cross multiply
    51,765.60x = 77,664.78 × 18,484.92
  4. Step 4: Simplify right side
    51,765.60x = 1,435,627,245.12
  5. Step 5: Solve for x
    x = 1,435,627,245.12/51,765.60
  6. Step 6: Final answer
    x = 27,733.23

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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.