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Finding the Fourth Proportional to 32,025.62, 47,980.92 and 19,539.20

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Solution

The fourth proportional to 32,025.62, 47,980.92 and 19,539.20 is: 29,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.62 : 47,980.92 = 19,539.20 : x
  2. Step 2: Convert to fraction form
    32,025.62/47,980.92 = 19,539.20/x
  3. Step 3: Cross multiply
    32,025.62x = 47,980.92 × 19,539.20
  4. Step 4: Simplify right side
    32,025.62x = 937,508,792.06
  5. Step 5: Solve for x
    x = 937,508,792.06/32,025.62
  6. Step 6: Final answer
    x = 29,273.71

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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.