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Finding the Fourth Proportional to 37,724.10, 52,059 and 20,728.53

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Solution

The fourth proportional to 37,724.10, 52,059 and 20,728.53 is: 28,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,724.10 : 52,059 = 20,728.53 : x
  2. Step 2: Convert to fraction form
    37,724.10/52,059 = 20,728.53/x
  3. Step 3: Cross multiply
    37,724.10x = 52,059 × 20,728.53
  4. Step 4: Simplify right side
    37,724.10x = 1,079,106,543.27
  5. Step 5: Solve for x
    x = 1,079,106,543.27/37,724.10
  6. Step 6: Final answer
    x = 28,605.23

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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.