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Finding the Fourth Proportional to 32,762.97, 45,217.77 and 20,023.53

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Solution

The fourth proportional to 32,762.97, 45,217.77 and 20,023.53 is: 27,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.97 : 45,217.77 = 20,023.53 : x
  2. Step 2: Convert to fraction form
    32,762.97/45,217.77 = 20,023.53/x
  3. Step 3: Cross multiply
    32,762.97x = 45,217.77 × 20,023.53
  4. Step 4: Simplify right side
    32,762.97x = 905,419,374.13
  5. Step 5: Solve for x
    x = 905,419,374.13/32,762.97
  6. Step 6: Final answer
    x = 27,635.45

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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.