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Finding the Fourth Proportional to 100,654.66, 151,003.77 and 30,539.26

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Solution

The fourth proportional to 100,654.66, 151,003.77 and 30,539.26 is: 45,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,654.66 : 151,003.77 = 30,539.26 : x
  2. Step 2: Convert to fraction form
    100,654.66/151,003.77 = 30,539.26/x
  3. Step 3: Cross multiply
    100,654.66x = 151,003.77 × 30,539.26
  4. Step 4: Simplify right side
    100,654.66x = 4,611,543,393.01
  5. Step 5: Solve for x
    x = 4,611,543,393.01/100,654.66
  6. Step 6: Final answer
    x = 45,815.50

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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.