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Finding the Fourth Proportional to 50,138.32, 69,159.60 and 32,256.64

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Solution

The fourth proportional to 50,138.32, 69,159.60 and 32,256.64 is: 44,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,138.32 : 69,159.60 = 32,256.64 : x
  2. Step 2: Convert to fraction form
    50,138.32/69,159.60 = 32,256.64/x
  3. Step 3: Cross multiply
    50,138.32x = 69,159.60 × 32,256.64
  4. Step 4: Simplify right side
    50,138.32x = 2,230,856,319.74
  5. Step 5: Solve for x
    x = 2,230,856,319.74/50,138.32
  6. Step 6: Final answer
    x = 44,494.04

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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.