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Finding the Fourth Proportional to 51,105.60, 70,524 and 28,745.28

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Solution

The fourth proportional to 51,105.60, 70,524 and 28,745.28 is: 39,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105.60 : 70,524 = 28,745.28 : x
  2. Step 2: Convert to fraction form
    51,105.60/70,524 = 28,745.28/x
  3. Step 3: Cross multiply
    51,105.60x = 70,524 × 28,745.28
  4. Step 4: Simplify right side
    51,105.60x = 2,027,232,126.72
  5. Step 5: Solve for x
    x = 2,027,232,126.72/51,105.60
  6. Step 6: Final answer
    x = 39,667.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.