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Finding the Fourth Proportional to 55,286.20, 82,929.30 and 49,381.30

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Solution

The fourth proportional to 55,286.20, 82,929.30 and 49,381.30 is: 74,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.20 : 82,929.30 = 49,381.30 : x
  2. Step 2: Convert to fraction form
    55,286.20/82,929.30 = 49,381.30/x
  3. Step 3: Cross multiply
    55,286.20x = 82,929.30 × 49,381.30
  4. Step 4: Simplify right side
    55,286.20x = 4,095,156,642.09
  5. Step 5: Solve for x
    x = 4,095,156,642.09/55,286.20
  6. Step 6: Final answer
    x = 74,071.95

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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.