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Finding the Fourth Proportional to 52,343.16, 78,516.54 and 20,759.22

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Solution

The fourth proportional to 52,343.16, 78,516.54 and 20,759.22 is: 31,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,343.16 : 78,516.54 = 20,759.22 : x
  2. Step 2: Convert to fraction form
    52,343.16/78,516.54 = 20,759.22/x
  3. Step 3: Cross multiply
    52,343.16x = 78,516.54 × 20,759.22
  4. Step 4: Simplify right side
    52,343.16x = 1,629,942,127.50
  5. Step 5: Solve for x
    x = 1,629,942,127.50/52,343.16
  6. Step 6: Final answer
    x = 31,139.54

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Why These Related Problems?

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