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Finding the Fourth Proportional to 65,138.64, 89,893.36 and 36,843.76

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Solution

The fourth proportional to 65,138.64, 89,893.36 and 36,843.76 is: 50,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.64 : 89,893.36 = 36,843.76 : x
  2. Step 2: Convert to fraction form
    65,138.64/89,893.36 = 36,843.76/x
  3. Step 3: Cross multiply
    65,138.64x = 89,893.36 × 36,843.76
  4. Step 4: Simplify right side
    65,138.64x = 3,312,009,381.43
  5. Step 5: Solve for x
    x = 3,312,009,381.43/65,138.64
  6. Step 6: Final answer
    x = 50,845.54

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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.