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Finding the Fourth Proportional to 57,197.71, 78,906.14 and 35,988.67

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Solution

The fourth proportional to 57,197.71, 78,906.14 and 35,988.67 is: 49,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.71 : 78,906.14 = 35,988.67 : x
  2. Step 2: Convert to fraction form
    57,197.71/78,906.14 = 35,988.67/x
  3. Step 3: Cross multiply
    57,197.71x = 78,906.14 × 35,988.67
  4. Step 4: Simplify right side
    57,197.71x = 2,839,727,033.43
  5. Step 5: Solve for x
    x = 2,839,727,033.43/57,197.71
  6. Step 6: Final answer
    x = 49,647.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.