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Finding the Fourth Proportional to 51,842, 77,669.04 and 23,785.56

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Solution

The fourth proportional to 51,842, 77,669.04 and 23,785.56 is: 35,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842 : 77,669.04 = 23,785.56 : x
  2. Step 2: Convert to fraction form
    51,842/77,669.04 = 23,785.56/x
  3. Step 3: Cross multiply
    51,842x = 77,669.04 × 23,785.56
  4. Step 4: Simplify right side
    51,842x = 1,847,401,611.06
  5. Step 5: Solve for x
    x = 1,847,401,611.06/51,842
  6. Step 6: Final answer
    x = 35,635.23

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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.