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Finding the Fourth Proportional to 32,765.58, 45,203.67 and 20,168.46

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Solution

The fourth proportional to 32,765.58, 45,203.67 and 20,168.46 is: 27,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.58 : 45,203.67 = 20,168.46 : x
  2. Step 2: Convert to fraction form
    32,765.58/45,203.67 = 20,168.46/x
  3. Step 3: Cross multiply
    32,765.58x = 45,203.67 × 20,168.46
  4. Step 4: Simplify right side
    32,765.58x = 911,688,410.25
  5. Step 5: Solve for x
    x = 911,688,410.25/32,765.58
  6. Step 6: Final answer
    x = 27,824.58

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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.