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Finding the Fourth Proportional to 91,381.96, 137,083.88 and 32,205.39

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Solution

The fourth proportional to 91,381.96, 137,083.88 and 32,205.39 is: 48,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,381.96 : 137,083.88 = 32,205.39 : x
  2. Step 2: Convert to fraction form
    91,381.96/137,083.88 = 32,205.39/x
  3. Step 3: Cross multiply
    91,381.96x = 137,083.88 × 32,205.39
  4. Step 4: Simplify right side
    91,381.96x = 4,414,839,818.11
  5. Step 5: Solve for x
    x = 4,414,839,818.11/91,381.96
  6. Step 6: Final answer
    x = 48,311.94

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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.