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Finding the Fourth Proportional to 69,302, 103,959.48 and 22,542.32

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Solution

The fourth proportional to 69,302, 103,959.48 and 22,542.32 is: 33,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,302 : 103,959.48 = 22,542.32 : x
  2. Step 2: Convert to fraction form
    69,302/103,959.48 = 22,542.32/x
  3. Step 3: Cross multiply
    69,302x = 103,959.48 × 22,542.32
  4. Step 4: Simplify right side
    69,302x = 2,343,487,865.19
  5. Step 5: Solve for x
    x = 2,343,487,865.19/69,302
  6. Step 6: Final answer
    x = 33,815.59

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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.