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Finding the Fourth Proportional to 102,122.20, 153,188.10 and 32,003.80

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Solution

The fourth proportional to 102,122.20, 153,188.10 and 32,003.80 is: 48,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122.20 : 153,188.10 = 32,003.80 : x
  2. Step 2: Convert to fraction form
    102,122.20/153,188.10 = 32,003.80/x
  3. Step 3: Cross multiply
    102,122.20x = 153,188.10 × 32,003.80
  4. Step 4: Simplify right side
    102,122.20x = 4,902,601,314.78
  5. Step 5: Solve for x
    x = 4,902,601,314.78/102,122.20
  6. Step 6: Final answer
    x = 48,007.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.