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Finding the Fourth Proportional to 42,955.28, 64,380.04 and 20,477.80

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Solution

The fourth proportional to 42,955.28, 64,380.04 and 20,477.80 is: 30,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,955.28 : 64,380.04 = 20,477.80 : x
  2. Step 2: Convert to fraction form
    42,955.28/64,380.04 = 20,477.80/x
  3. Step 3: Cross multiply
    42,955.28x = 64,380.04 × 20,477.80
  4. Step 4: Simplify right side
    42,955.28x = 1,318,361,583.11
  5. Step 5: Solve for x
    x = 1,318,361,583.11/42,955.28
  6. Step 6: Final answer
    x = 30,691.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.