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Finding the Fourth Proportional to 32,065.77, 48,099.33 and 11,005.63

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Solution

The fourth proportional to 32,065.77, 48,099.33 and 11,005.63 is: 16,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.77 : 48,099.33 = 11,005.63 : x
  2. Step 2: Convert to fraction form
    32,065.77/48,099.33 = 11,005.63/x
  3. Step 3: Cross multiply
    32,065.77x = 48,099.33 × 11,005.63
  4. Step 4: Simplify right side
    32,065.77x = 529,363,429.23
  5. Step 5: Solve for x
    x = 529,363,429.23/32,065.77
  6. Step 6: Final answer
    x = 16,508.68

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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.