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Finding the Fourth Proportional to 69,095.92, 103,647.12 and 22,352.44

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Solution

The fourth proportional to 69,095.92, 103,647.12 and 22,352.44 is: 33,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095.92 : 103,647.12 = 22,352.44 : x
  2. Step 2: Convert to fraction form
    69,095.92/103,647.12 = 22,352.44/x
  3. Step 3: Cross multiply
    69,095.92x = 103,647.12 × 22,352.44
  4. Step 4: Simplify right side
    69,095.92x = 2,316,766,030.97
  5. Step 5: Solve for x
    x = 2,316,766,030.97/69,095.92
  6. Step 6: Final answer
    x = 33,529.71

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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.