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Finding the Fourth Proportional to 32,509.89, 48,736.35 and 15,634.44

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Solution

The fourth proportional to 32,509.89, 48,736.35 and 15,634.44 is: 23,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.89 : 48,736.35 = 15,634.44 : x
  2. Step 2: Convert to fraction form
    32,509.89/48,736.35 = 15,634.44/x
  3. Step 3: Cross multiply
    32,509.89x = 48,736.35 × 15,634.44
  4. Step 4: Simplify right side
    32,509.89x = 761,965,539.89
  5. Step 5: Solve for x
    x = 761,965,539.89/32,509.89
  6. Step 6: Final answer
    x = 23,437.96

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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.