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Finding the Fourth Proportional to 32,089.26, 48,093.75 and 15,444.84

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Solution

The fourth proportional to 32,089.26, 48,093.75 and 15,444.84 is: 23,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.26 : 48,093.75 = 15,444.84 : x
  2. Step 2: Convert to fraction form
    32,089.26/48,093.75 = 15,444.84/x
  3. Step 3: Cross multiply
    32,089.26x = 48,093.75 × 15,444.84
  4. Step 4: Simplify right side
    32,089.26x = 742,800,273.75
  5. Step 5: Solve for x
    x = 742,800,273.75/32,089.26
  6. Step 6: Final answer
    x = 23,147.94

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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.