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Finding the Fourth Proportional to 69,316.38, 103,982.70 and 24,324

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Solution

The fourth proportional to 69,316.38, 103,982.70 and 24,324 is: 36,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,316.38 : 103,982.70 = 24,324 : x
  2. Step 2: Convert to fraction form
    69,316.38/103,982.70 = 24,324/x
  3. Step 3: Cross multiply
    69,316.38x = 103,982.70 × 24,324
  4. Step 4: Simplify right side
    69,316.38x = 2,529,275,194.80
  5. Step 5: Solve for x
    x = 2,529,275,194.80/69,316.38
  6. Step 6: Final answer
    x = 36,488.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.