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Finding the Fourth Proportional to 62,242.94, 85,891.82 and 35,381.72

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Solution

The fourth proportional to 62,242.94, 85,891.82 and 35,381.72 is: 48,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,242.94 : 85,891.82 = 35,381.72 : x
  2. Step 2: Convert to fraction form
    62,242.94/85,891.82 = 35,381.72/x
  3. Step 3: Cross multiply
    62,242.94x = 85,891.82 × 35,381.72
  4. Step 4: Simplify right side
    62,242.94x = 3,039,000,325.53
  5. Step 5: Solve for x
    x = 3,039,000,325.53/62,242.94
  6. Step 6: Final answer
    x = 48,824.82

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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.