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Finding the Fourth Proportional to 91,381.68, 137,072.52 and 24,821.82

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Solution

The fourth proportional to 91,381.68, 137,072.52 and 24,821.82 is: 37,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,381.68 : 137,072.52 = 24,821.82 : x
  2. Step 2: Convert to fraction form
    91,381.68/137,072.52 = 24,821.82/x
  3. Step 3: Cross multiply
    91,381.68x = 137,072.52 × 24,821.82
  4. Step 4: Simplify right side
    91,381.68x = 3,402,389,418.39
  5. Step 5: Solve for x
    x = 3,402,389,418.39/91,381.68
  6. Step 6: Final answer
    x = 37,232.73

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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.