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Finding the Fourth Proportional to 38,539.98, 57,784.05 and 20,993.10

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Solution

The fourth proportional to 38,539.98, 57,784.05 and 20,993.10 is: 31,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.98 : 57,784.05 = 20,993.10 : x
  2. Step 2: Convert to fraction form
    38,539.98/57,784.05 = 20,993.10/x
  3. Step 3: Cross multiply
    38,539.98x = 57,784.05 × 20,993.10
  4. Step 4: Simplify right side
    38,539.98x = 1,213,066,340.06
  5. Step 5: Solve for x
    x = 1,213,066,340.06/38,539.98
  6. Step 6: Final answer
    x = 31,475.53

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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.