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Finding the Fourth Proportional to 69,083.68, 103,599.60 and 22,324

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Solution

The fourth proportional to 69,083.68, 103,599.60 and 22,324 is: 33,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,083.68 : 103,599.60 = 22,324 : x
  2. Step 2: Convert to fraction form
    69,083.68/103,599.60 = 22,324/x
  3. Step 3: Cross multiply
    69,083.68x = 103,599.60 × 22,324
  4. Step 4: Simplify right side
    69,083.68x = 2,312,757,470.40
  5. Step 5: Solve for x
    x = 2,312,757,470.40/69,083.68
  6. Step 6: Final answer
    x = 33,477.62

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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.