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Finding the Fourth Proportional to 32,005.52, 48,025.52 and 15,589.52

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Solution

The fourth proportional to 32,005.52, 48,025.52 and 15,589.52 is: 23,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.52 : 48,025.52 = 15,589.52 : x
  2. Step 2: Convert to fraction form
    32,005.52/48,025.52 = 15,589.52/x
  3. Step 3: Cross multiply
    32,005.52x = 48,025.52 × 15,589.52
  4. Step 4: Simplify right side
    32,005.52x = 748,694,804.55
  5. Step 5: Solve for x
    x = 748,694,804.55/32,005.52
  6. Step 6: Final answer
    x = 23,392.68

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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.