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Finding the Fourth Proportional to 69,705.63, 96,193.74 and 41,411.31

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Solution

The fourth proportional to 69,705.63, 96,193.74 and 41,411.31 is: 57,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,705.63 : 96,193.74 = 41,411.31 : x
  2. Step 2: Convert to fraction form
    69,705.63/96,193.74 = 41,411.31/x
  3. Step 3: Cross multiply
    69,705.63x = 96,193.74 × 41,411.31
  4. Step 4: Simplify right side
    69,705.63x = 3,983,508,787.20
  5. Step 5: Solve for x
    x = 3,983,508,787.20/69,705.63
  6. Step 6: Final answer
    x = 57,147.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.