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Finding the Fourth Proportional to 51,665.60, 77,524 and 20,500.16

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Solution

The fourth proportional to 51,665.60, 77,524 and 20,500.16 is: 30,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,665.60 : 77,524 = 20,500.16 : x
  2. Step 2: Convert to fraction form
    51,665.60/77,524 = 20,500.16/x
  3. Step 3: Cross multiply
    51,665.60x = 77,524 × 20,500.16
  4. Step 4: Simplify right side
    51,665.60x = 1,589,254,403.84
  5. Step 5: Solve for x
    x = 1,589,254,403.84/51,665.60
  6. Step 6: Final answer
    x = 30,760.40

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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.