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Finding the Fourth Proportional to 32,289.77, 48,408.52 and 10,091.72

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Solution

The fourth proportional to 32,289.77, 48,408.52 and 10,091.72 is: 15,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289.77 : 48,408.52 = 10,091.72 : x
  2. Step 2: Convert to fraction form
    32,289.77/48,408.52 = 10,091.72/x
  3. Step 3: Cross multiply
    32,289.77x = 48,408.52 × 10,091.72
  4. Step 4: Simplify right side
    32,289.77x = 488,524,962.18
  5. Step 5: Solve for x
    x = 488,524,962.18/32,289.77
  6. Step 6: Final answer
    x = 15,129.41

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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.