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Finding the Fourth Proportional to 102,842.60, 154,257.42 and 32,772.20

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Solution

The fourth proportional to 102,842.60, 154,257.42 and 32,772.20 is: 49,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,842.60 : 154,257.42 = 32,772.20 : x
  2. Step 2: Convert to fraction form
    102,842.60/154,257.42 = 32,772.20/x
  3. Step 3: Cross multiply
    102,842.60x = 154,257.42 × 32,772.20
  4. Step 4: Simplify right side
    102,842.60x = 5,055,355,019.72
  5. Step 5: Solve for x
    x = 5,055,355,019.72/102,842.60
  6. Step 6: Final answer
    x = 49,156.24

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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.