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Finding the Fourth Proportional to 91,614, 137,438.28 and 34,704.94

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Solution

The fourth proportional to 91,614, 137,438.28 and 34,704.94 is: 52,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,614 : 137,438.28 = 34,704.94 : x
  2. Step 2: Convert to fraction form
    91,614/137,438.28 = 34,704.94/x
  3. Step 3: Cross multiply
    91,614x = 137,438.28 × 34,704.94
  4. Step 4: Simplify right side
    91,614x = 4,769,787,087.58
  5. Step 5: Solve for x
    x = 4,769,787,087.58/91,614
  6. Step 6: Final answer
    x = 52,063.95

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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.