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Finding the Fourth Proportional to 74,097.91, 111,156 and 24,164.65

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Solution

The fourth proportional to 74,097.91, 111,156 and 24,164.65 is: 36,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097.91 : 111,156 = 24,164.65 : x
  2. Step 2: Convert to fraction form
    74,097.91/111,156 = 24,164.65/x
  3. Step 3: Cross multiply
    74,097.91x = 111,156 × 24,164.65
  4. Step 4: Simplify right side
    74,097.91x = 2,686,045,835.40
  5. Step 5: Solve for x
    x = 2,686,045,835.40/74,097.91
  6. Step 6: Final answer
    x = 36,249.95

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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.