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Finding the Fourth Proportional to 103,957.25, 155,912.36 and 47,743.32

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Solution

The fourth proportional to 103,957.25, 155,912.36 and 47,743.32 is: 71,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,957.25 : 155,912.36 = 47,743.32 : x
  2. Step 2: Convert to fraction form
    103,957.25/155,912.36 = 47,743.32/x
  3. Step 3: Cross multiply
    103,957.25x = 155,912.36 × 47,743.32
  4. Step 4: Simplify right side
    103,957.25x = 7,443,773,456.72
  5. Step 5: Solve for x
    x = 7,443,773,456.72/103,957.25
  6. Step 6: Final answer
    x = 71,604.18

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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.